8=2x^2-24

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Solution for 8=2x^2-24 equation: 


Simplifying
8 = 2x2 + -24

Reorder the terms:
8 = -24 + 2x2

Solving
8 = -24 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
8 + -2x2 = -24 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + -2x2 = -24 + 0
8 + -2x2 = -24

Add '-8' to each side of the equation.
8 + -8 + -2x2 = -24 + -8

Combine like terms: 8 + -8 = 0
0 + -2x2 = -24 + -8
-2x2 = -24 + -8

Combine like terms: -24 + -8 = -32
-2x2 = -32

Divide each side by '-2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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