(5x^2+7x)(16x^2-8x-3)=0

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Solution for (5x^2+7x)(16x^2-8x-3)=0 equation: 


Simplifying
(5x2 + 7x)(16x2 + -8x + -3) = 0

Reorder the terms:
(7x + 5x2)(16x2 + -8x + -3) = 0

Reorder the terms:
(7x + 5x2)(-3 + -8x + 16x2) = 0

Multiply (7x + 5x2) * (-3 + -8x + 16x2)
(7x * (-3 + -8x + 16x2) + 5x2 * (-3 + -8x + 16x2)) = 0
((-3 * 7x + -8x * 7x + 16x2 * 7x) + 5x2 * (-3 + -8x + 16x2)) = 0
((-21x + -56x2 + 112x3) + 5x2 * (-3 + -8x + 16x2)) = 0
(-21x + -56x2 + 112x3 + (-3 * 5x2 + -8x * 5x2 + 16x2 * 5x2)) = 0
(-21x + -56x2 + 112x3 + (-15x2 + -40x3 + 80x4)) = 0

Reorder the terms:
(-21x + -56x2 + -15x2 + 112x3 + -40x3 + 80x4) = 0

Combine like terms: -56x2 + -15x2 = -71x2
(-21x + -71x2 + 112x3 + -40x3 + 80x4) = 0

Combine like terms: 112x3 + -40x3 = 72x3
(-21x + -71x2 + 72x3 + 80x4) = 0

Solving
-21x + -71x2 + 72x3 + 80x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-21 + -71x + 72x2 + 80x3) = 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 '(-21 + -71x + 72x2 + 80x3)' equal to zero and attempt to solve:

Simplifying
-21 + -71x + 72x2 + 80x3 = 0

Solving
-21 + -71x + 72x2 + 80x3 = 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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