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Created on: 2012-04-14

A sample problem solved by Quickmath web math calculator

finding solution to an (h<1.69585); | finding solution to an inequality 9*x^2+6*x-8 >= 0

Command

Factor

Expression

2*(3*q*(h-3)^2+5*(3*q*(h-3)+1))

  1. A product comprising 2 factors; the 1st factor of the product is two; the 2nd factor of the product is a sum containing 2 terms; the 1st term of the sum is equal to a product consisting of 3 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to q; the 3rd factor of the product is a power; the base is a sum that comprises 2 terms; the 1st term of the sum is equal to h; the 2nd term of the sum is equal to negative three; the exponent is two; the 2nd term of the sum is equal to a product containing 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is equal to a sum of 2 terms; the 1st term of the sum is equal to a product of 3 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to q; the 3rd factor of the product is equal to a sum that comprises 2 terms; the 1st term of the sum is h; the 2nd term of the sum is negative three; the 2nd term of the sum is one;
  2. two times opening parenthesis three times q times left bracket h plus negative three right bracket exponentiated by two plus five times open parenthesis three times q times open brace h plus negative three close brace plus one close parenthesis closing parenthesis;

Result

2*(3*h^2*q-3*h*q-18*q+5)

  1. A product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a sum that comprises 4 terms. The 1st term of the sum is a product comprising 3 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is a power. The base is h. The exponent is two. The 3rd factor of the product is q. The 2nd term of the sum is equal to a negative product containing 3 factors. The 1st factor of the product is three. The 2nd factor of the product is equal to h. The 3rd factor of the product is equal to q. The 3rd term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is equal to eighteen. The 2nd factor of the product is equal to q. The 4th term of the sum is equal to five.
  2. two times opening parenthesis three multiplied by h raised to the power of two multiplied by q plus negative three multiplied by h multiplied by q plus negative eighteen times q plus five closing parenthesis.