(x-5)(x+9)(x-9)(x+0)=0

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Solution for (x-5)(x+9)(x-9)(x+0)=0 equation:


Simplifying
(x + -5)(x + 9)(x + -9)(x + 0) = 0

Reorder the terms:
(-5 + x)(x + 9)(x + -9)(x + 0) = 0

Reorder the terms:
(-5 + x)(9 + x)(x + -9)(x + 0) = 0

Reorder the terms:
(-5 + x)(9 + x)(-9 + x)(x + 0) = 0

Reorder the terms:
(-5 + x)(9 + x)(-9 + x)(0 + x) = 0
Remove the zero:
(-5 + x)(9 + x)(-9 + x)(x) = 0

Reorder the terms for easier multiplication:
x(-5 + x)(9 + x)(-9 + x) = 0

Multiply (-5 + x) * (9 + x)
x(-5(9 + x) + x(9 + x))(-9 + x) = 0
x((9 * -5 + x * -5) + x(9 + x))(-9 + x) = 0
x((-45 + -5x) + x(9 + x))(-9 + x) = 0
x(-45 + -5x + (9 * x + x * x))(-9 + x) = 0
x(-45 + -5x + (9x + x2))(-9 + x) = 0

Combine like terms: -5x + 9x = 4x
x(-45 + 4x + x2)(-9 + x) = 0

Multiply (-45 + 4x + x2) * (-9 + x)
x(-45(-9 + x) + 4x * (-9 + x) + x2(-9 + x)) = 0
x((-9 * -45 + x * -45) + 4x * (-9 + x) + x2(-9 + x)) = 0
x((405 + -45x) + 4x * (-9 + x) + x2(-9 + x)) = 0
x(405 + -45x + (-9 * 4x + x * 4x) + x2(-9 + x)) = 0
x(405 + -45x + (-36x + 4x2) + x2(-9 + x)) = 0
x(405 + -45x + -36x + 4x2 + (-9 * x2 + x * x2)) = 0
x(405 + -45x + -36x + 4x2 + (-9x2 + x3)) = 0

Combine like terms: -45x + -36x = -81x
x(405 + -81x + 4x2 + -9x2 + x3) = 0

Combine like terms: 4x2 + -9x2 = -5x2
x(405 + -81x + -5x2 + x3) = 0
(405 * x + -81x * x + -5x2 * x + x3 * x) = 0
(405x + -81x2 + -5x3 + x4) = 0

Solving
405x + -81x2 + -5x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(405 + -81x + -5x2 + x3) = 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 '(405 + -81x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 405 + -81x + -5x2 + x3 = 0 Solving 405 + -81x + -5x2 + x3 = 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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