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Simplifying
12 = 4x2 + -4 + -8
Reorder the terms:
12 = -4 + -8 + 4x2
Combine like terms: -4 + -8 = -12
12 = -12 + 4x2
Solving
12 = -12 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
12 + -4x2 = -12 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
12 + -4x2 = -12 + 0
12 + -4x2 = -12
Add '-12' to each side of the equation.
12 + -12 + -4x2 = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4x2 = -12 + -12
-4x2 = -12 + -12
Combine like terms: -12 + -12 = -24
-4x2 = -24
Divide each side by '-4'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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