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Simplifying
4((x2) + -8) = 84
4(x2 + -8) = 84
Reorder the terms:
4(-8 + x2) = 84
(-8 * 4 + x2 * 4) = 84
(-32 + 4x2) = 84
Solving
-32 + 4x2 = 84
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 = 84 + 32
Combine like terms: -32 + 32 = 0
0 + 4x2 = 84 + 32
4x2 = 84 + 32
Combine like terms: 84 + 32 = 116
4x2 = 116
Divide each side by '4'.
x2 = 29
Simplifying
x2 = 29
Take the square root of each side:
x = {-5.385164807, 5.385164807}
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