5*(x-4)*(x+8)=0

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Solution for 5*(x-4)*(x+8)=0 equation:


Simplifying
5(x + -4)(x + 8) = 0

Reorder the terms:
5(-4 + x)(x + 8) = 0

Reorder the terms:
5(-4 + x)(8 + x) = 0

Multiply (-4 + x) * (8 + x)
5(-4(8 + x) + x(8 + x)) = 0
5((8 * -4 + x * -4) + x(8 + x)) = 0
5((-32 + -4x) + x(8 + x)) = 0
5(-32 + -4x + (8 * x + x * x)) = 0
5(-32 + -4x + (8x + x2)) = 0

Combine like terms: -4x + 8x = 4x
5(-32 + 4x + x2) = 0
(-32 * 5 + 4x * 5 + x2 * 5) = 0
(-160 + 20x + 5x2) = 0

Solving
-160 + 20x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-32 + 4x + x2) = 0

Factor a trinomial.
5((-8 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-8, 4}

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