(2x+17)x(4x-4)x(6x+9)=

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Solution for (2x+17)x(4x-4)x(6x+9)= equation: 


Simplifying
(2x + 17) * x(4x + -4) * x(6x + 9) = 0

Reorder the terms:
(17 + 2x) * x(4x + -4) * x(6x + 9) = 0

Reorder the terms:
(17 + 2x) * x(-4 + 4x) * x(6x + 9) = 0

Reorder the terms:
(17 + 2x) * x(-4 + 4x) * x(9 + 6x) = 0

Reorder the terms for easier multiplication:
x * x(17 + 2x)(-4 + 4x)(9 + 6x) = 0

Multiply x * x
x2(17 + 2x)(-4 + 4x)(9 + 6x) = 0

Multiply (17 + 2x) * (-4 + 4x)
x2(17(-4 + 4x) + 2x * (-4 + 4x))(9 + 6x) = 0
x2((-4 * 17 + 4x * 17) + 2x * (-4 + 4x))(9 + 6x) = 0
x2((-68 + 68x) + 2x * (-4 + 4x))(9 + 6x) = 0
x2(-68 + 68x + (-4 * 2x + 4x * 2x))(9 + 6x) = 0
x2(-68 + 68x + (-8x + 8x2))(9 + 6x) = 0

Combine like terms: 68x + -8x = 60x
x2(-68 + 60x + 8x2)(9 + 6x) = 0

Multiply (-68 + 60x + 8x2) * (9 + 6x)
x2(-68(9 + 6x) + 60x * (9 + 6x) + 8x2 * (9 + 6x)) = 0
x2((9 * -68 + 6x * -68) + 60x * (9 + 6x) + 8x2 * (9 + 6x)) = 0
x2((-612 + -408x) + 60x * (9 + 6x) + 8x2 * (9 + 6x)) = 0
x2(-612 + -408x + (9 * 60x + 6x * 60x) + 8x2 * (9 + 6x)) = 0
x2(-612 + -408x + (540x + 360x2) + 8x2 * (9 + 6x)) = 0
x2(-612 + -408x + 540x + 360x2 + (9 * 8x2 + 6x * 8x2)) = 0
x2(-612 + -408x + 540x + 360x2 + (72x2 + 48x3)) = 0

Combine like terms: -408x + 540x = 132x
x2(-612 + 132x + 360x2 + 72x2 + 48x3) = 0

Combine like terms: 360x2 + 72x2 = 432x2
x2(-612 + 132x + 432x2 + 48x3) = 0
(-612 * x2 + 132x * x2 + 432x2 * x2 + 48x3 * x2) = 0
(-612x2 + 132x3 + 432x4 + 48x5) = 0

Solving
-612x2 + 132x3 + 432x4 + 48x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x2'.
12x2(-51 + 11x + 36x2 + 4x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-51 + 11x + 36x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-51 + 11x + 36x2 + 4x3 = 0

Solving
-51 + 11x + 36x2 + 4x3 = 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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