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Simplifying
2x2 + 4x + -12 = x2 + 4x + 24
Reorder the terms:
-12 + 4x + 2x2 = x2 + 4x + 24
Reorder the terms:
-12 + 4x + 2x2 = 24 + 4x + x2
Add '-4x' to each side of the equation.
-12 + 4x + -4x + 2x2 = 24 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
-12 + 0 + 2x2 = 24 + 4x + -4x + x2
-12 + 2x2 = 24 + 4x + -4x + x2
Combine like terms: 4x + -4x = 0
-12 + 2x2 = 24 + 0 + x2
-12 + 2x2 = 24 + x2
Solving
-12 + 2x2 = 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 + 2x2 + -1x2 = 24 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
-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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