x^2+8x+16=x^2-16

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


Simplifying
x2 + 8x + 16 = x2 + -16

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

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

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = -16 + x2 + -1x2
16 + 8x = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = -16 + 0
16 + 8x = -16

Solving
16 + 8x = -16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

Combine like terms: -16 + -16 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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