x^2+8x+16=16

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Solution for x^2+8x+16=16 equation:


Simplifying
x2 + 8x + 16 = 16

Reorder the terms:
16 + 8x + x2 = 16

Add '-16' to each side of the equation.
16 + 8x + -16 + x2 = 16 + -16

Reorder the terms:
16 + -16 + 8x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
0 + 8x + x2 = 16 + -16
8x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
8x + x2 = 0

Solving
8x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
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

Solution

x = {0, -8}

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