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Simplifying
-8 = x2 + -24
Reorder the terms:
-8 = -24 + x2
Solving
-8 = -24 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-8 + -1x2 = -24 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-8 + -1x2 = -24 + 0
-8 + -1x2 = -24
Add '8' to each side of the equation.
-8 + 8 + -1x2 = -24 + 8
Combine like terms: -8 + 8 = 0
0 + -1x2 = -24 + 8
-1x2 = -24 + 8
Combine like terms: -24 + 8 = -16
-1x2 = -16
Divide each side by '-1'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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