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Simplifying
12 + 4x + -2x2 = 4x + 4
Reorder the terms:
12 + 4x + -2x2 = 4 + 4x
Add '-4x' to each side of the equation.
12 + 4x + -4x + -2x2 = 4 + 4x + -4x
Combine like terms: 4x + -4x = 0
12 + 0 + -2x2 = 4 + 4x + -4x
12 + -2x2 = 4 + 4x + -4x
Combine like terms: 4x + -4x = 0
12 + -2x2 = 4 + 0
12 + -2x2 = 4
Solving
12 + -2x2 = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -2x2 = 4 + -12
Combine like terms: 12 + -12 = 0
0 + -2x2 = 4 + -12
-2x2 = 4 + -12
Combine like terms: 4 + -12 = -8
-2x2 = -8
Divide each side by '-2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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