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Simplifying
4x + 12 = x2 + 4x + -24
Reorder the terms:
12 + 4x = x2 + 4x + -24
Reorder the terms:
12 + 4x = -24 + 4x + x2
Add '-4x' to each side of the equation.
12 + 4x + -4x = -24 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
12 + 0 = -24 + 4x + -4x + x2
12 = -24 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
12 = -24 + 0 + x2
12 = -24 + x2
Solving
12 = -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.
12 + -1x2 = -24 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
12 + -1x2 = -24 + 0
12 + -1x2 = -24
Add '-12' to each side of the equation.
12 + -12 + -1x2 = -24 + -12
Combine like terms: 12 + -12 = 0
0 + -1x2 = -24 + -12
-1x2 = -24 + -12
Combine like terms: -24 + -12 = -36
-1x2 = -36
Divide each side by '-1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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