x(x+8)(x+8)=0

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Solution for x(x+8)(x+8)=0 equation:


Simplifying
x(x + 8)(x + 8) = 0

Reorder the terms:
x(8 + x)(x + 8) = 0

Reorder the terms:
x(8 + x)(8 + x) = 0

Multiply (8 + x) * (8 + x)
x(8(8 + x) + x(8 + x)) = 0
x((8 * 8 + x * 8) + x(8 + x)) = 0
x((64 + 8x) + x(8 + x)) = 0
x(64 + 8x + (8 * x + x * x)) = 0
x(64 + 8x + (8x + x2)) = 0

Combine like terms: 8x + 8x = 16x
x(64 + 16x + x2) = 0
(64 * x + 16x * x + x2 * x) = 0
(64x + 16x2 + x3) = 0

Solving
64x + 16x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(64 + 16x + x2) = 0

Factor a trinomial.
x((8 + x)(8 + x)) = 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 3

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {0, -8, -8}

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