(x-5)(x-0)(x+9)(x-8)=0

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Solution for (x-5)(x-0)(x+9)(x-8)=0 equation: 


Simplifying
(x + -5)(x + 0)(x + 9)(x + -8) = 0

Reorder the terms:
(-5 + x)(x + 0)(x + 9)(x + -8) = 0

Reorder the terms:
(-5 + x)(0 + x)(x + 9)(x + -8) = 0
Remove the zero:
(-5 + x)(x)(x + 9)(x + -8) = 0

Reorder the terms:
(-5 + x) * x(9 + x)(x + -8) = 0

Reorder the terms:
(-5 + x) * x(9 + x)(-8 + x) = 0

Reorder the terms for easier multiplication:
x(-5 + x)(9 + x)(-8 + x) = 0

Multiply (-5 + x) * (9 + x)
x(-5(9 + x) + x(9 + x))(-8 + x) = 0
x((9 * -5 + x * -5) + x(9 + x))(-8 + x) = 0
x((-45 + -5x) + x(9 + x))(-8 + x) = 0
x(-45 + -5x + (9 * x + x * x))(-8 + x) = 0
x(-45 + -5x + (9x + x2))(-8 + x) = 0

Combine like terms: -5x + 9x = 4x
x(-45 + 4x + x2)(-8 + x) = 0

Multiply (-45 + 4x + x2) * (-8 + x)
x(-45(-8 + x) + 4x * (-8 + x) + x2(-8 + x)) = 0
x((-8 * -45 + x * -45) + 4x * (-8 + x) + x2(-8 + x)) = 0
x((360 + -45x) + 4x * (-8 + x) + x2(-8 + x)) = 0
x(360 + -45x + (-8 * 4x + x * 4x) + x2(-8 + x)) = 0
x(360 + -45x + (-32x + 4x2) + x2(-8 + x)) = 0
x(360 + -45x + -32x + 4x2 + (-8 * x2 + x * x2)) = 0
x(360 + -45x + -32x + 4x2 + (-8x2 + x3)) = 0

Combine like terms: -45x + -32x = -77x
x(360 + -77x + 4x2 + -8x2 + x3) = 0

Combine like terms: 4x2 + -8x2 = -4x2
x(360 + -77x + -4x2 + x3) = 0
(360 * x + -77x * x + -4x2 * x + x3 * x) = 0
(360x + -77x2 + -4x3 + x4) = 0

Solving
360x + -77x2 + -4x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(360 + -77x + -4x2 + 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 '(360 + -77x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
360 + -77x + -4x2 + x3 = 0

Solving
360 + -77x + -4x2 + 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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