(6x^2+7x)(14x^2-5x-6)=0

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Solution for (6x^2+7x)(14x^2-5x-6)=0 equation: 


Simplifying
(6x2 + 7x)(14x2 + -5x + -6) = 0

Reorder the terms:
(7x + 6x2)(14x2 + -5x + -6) = 0

Reorder the terms:
(7x + 6x2)(-6 + -5x + 14x2) = 0

Multiply (7x + 6x2) * (-6 + -5x + 14x2)
(7x * (-6 + -5x + 14x2) + 6x2 * (-6 + -5x + 14x2)) = 0
((-6 * 7x + -5x * 7x + 14x2 * 7x) + 6x2 * (-6 + -5x + 14x2)) = 0
((-42x + -35x2 + 98x3) + 6x2 * (-6 + -5x + 14x2)) = 0
(-42x + -35x2 + 98x3 + (-6 * 6x2 + -5x * 6x2 + 14x2 * 6x2)) = 0
(-42x + -35x2 + 98x3 + (-36x2 + -30x3 + 84x4)) = 0

Reorder the terms:
(-42x + -35x2 + -36x2 + 98x3 + -30x3 + 84x4) = 0

Combine like terms: -35x2 + -36x2 = -71x2
(-42x + -71x2 + 98x3 + -30x3 + 84x4) = 0

Combine like terms: 98x3 + -30x3 = 68x3
(-42x + -71x2 + 68x3 + 84x4) = 0

Solving
-42x + -71x2 + 68x3 + 84x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-42 + -71x + 68x2 + 84x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-42 + -71x + 68x2 + 84x3)' equal to zero and attempt to solve:

Simplifying
-42 + -71x + 68x2 + 84x3 = 0

Solving
-42 + -71x + 68x2 + 84x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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