(5x^2+6x)(25x^2-15x-4)=0

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Solution for (5x^2+6x)(25x^2-15x-4)=0 equation: 


Simplifying
(5x2 + 6x)(25x2 + -15x + -4) = 0

Reorder the terms:
(6x + 5x2)(25x2 + -15x + -4) = 0

Reorder the terms:
(6x + 5x2)(-4 + -15x + 25x2) = 0

Multiply (6x + 5x2) * (-4 + -15x + 25x2)
(6x * (-4 + -15x + 25x2) + 5x2 * (-4 + -15x + 25x2)) = 0
((-4 * 6x + -15x * 6x + 25x2 * 6x) + 5x2 * (-4 + -15x + 25x2)) = 0
((-24x + -90x2 + 150x3) + 5x2 * (-4 + -15x + 25x2)) = 0
(-24x + -90x2 + 150x3 + (-4 * 5x2 + -15x * 5x2 + 25x2 * 5x2)) = 0
(-24x + -90x2 + 150x3 + (-20x2 + -75x3 + 125x4)) = 0

Reorder the terms:
(-24x + -90x2 + -20x2 + 150x3 + -75x3 + 125x4) = 0

Combine like terms: -90x2 + -20x2 = -110x2
(-24x + -110x2 + 150x3 + -75x3 + 125x4) = 0

Combine like terms: 150x3 + -75x3 = 75x3
(-24x + -110x2 + 75x3 + 125x4) = 0

Solving
-24x + -110x2 + 75x3 + 125x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + -110x + 75x2 + 125x3) = 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 '(-24 + -110x + 75x2 + 125x3)' equal to zero and attempt to solve:

Simplifying
-24 + -110x + 75x2 + 125x3 = 0

Solving
-24 + -110x + 75x2 + 125x3 = 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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