(x^2)-24=x^2+8x+16

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Solution for (x^2)-24=x^2+8x+16 equation:


Simplifying
(x2) + -24 = x2 + 8x + 16
x2 + -24 = x2 + 8x + 16

Reorder the terms:
-24 + x2 = x2 + 8x + 16

Reorder the terms:
-24 + x2 = 16 + 8x + x2

Add '-1x2' to each side of the equation.
-24 + x2 + -1x2 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 0 = 16 + 8x + x2 + -1x2
-24 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 = 16 + 8x + 0
-24 = 16 + 8x

Solving
-24 = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + -8x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -8x = 16 + 0
-24 + -8x = 16

Add '24' to each side of the equation.
-24 + 24 + -8x = 16 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = 16 + 24
-8x = 16 + 24

Combine like terms: 16 + 24 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5

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