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Simplifying
8 = 2x2 + -4
Reorder the terms:
8 = -4 + 2x2
Solving
8 = -4 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
8 + -2x2 = -4 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
8 + -2x2 = -4 + 0
8 + -2x2 = -4
Add '-8' to each side of the equation.
8 + -8 + -2x2 = -4 + -8
Combine like terms: 8 + -8 = 0
0 + -2x2 = -4 + -8
-2x2 = -4 + -8
Combine like terms: -4 + -8 = -12
-2x2 = -12
Divide each side by '-2'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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