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Simplifying
x2 + 64 + 32 = 12x2 + 48
Reorder the terms:
64 + 32 + x2 = 12x2 + 48
Combine like terms: 64 + 32 = 96
96 + x2 = 12x2 + 48
Reorder the terms:
96 + x2 = 48 + 12x2
Solving
96 + x2 = 48 + 12x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x2' to each side of the equation.
96 + x2 + -12x2 = 48 + 12x2 + -12x2
Combine like terms: x2 + -12x2 = -11x2
96 + -11x2 = 48 + 12x2 + -12x2
Combine like terms: 12x2 + -12x2 = 0
96 + -11x2 = 48 + 0
96 + -11x2 = 48
Add '-96' to each side of the equation.
96 + -96 + -11x2 = 48 + -96
Combine like terms: 96 + -96 = 0
0 + -11x2 = 48 + -96
-11x2 = 48 + -96
Combine like terms: 48 + -96 = -48
-11x2 = -48
Divide each side by '-11'.
x2 = 4.363636364
Simplifying
x2 = 4.363636364
Take the square root of each side:
x = {-2.088931872, 2.088931872}
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