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Simplifying
4(x2 + -8) = 64
Reorder the terms:
4(-8 + x2) = 64
(-8 * 4 + x2 * 4) = 64
(-32 + 4x2) = 64
Solving
-32 + 4x2 = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 4x2 = 64 + 32
Combine like terms: -32 + 32 = 0
0 + 4x2 = 64 + 32
4x2 = 64 + 32
Combine like terms: 64 + 32 = 96
4x2 = 96
Divide each side by '4'.
x2 = 24
Simplifying
x2 = 24
Take the square root of each side:
x = {-4.898979486, 4.898979486}
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