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Simplifying
84 = 4x2 + -8 + 8 + -16
Reorder the terms:
84 = -8 + 8 + -16 + 4x2
Combine like terms: -8 + 8 = 0
84 = 0 + -16 + 4x2
84 = -16 + 4x2
Solving
84 = -16 + 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.
84 + -4x2 = -16 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
84 + -4x2 = -16 + 0
84 + -4x2 = -16
Add '-84' to each side of the equation.
84 + -84 + -4x2 = -16 + -84
Combine like terms: 84 + -84 = 0
0 + -4x2 = -16 + -84
-4x2 = -16 + -84
Combine like terms: -16 + -84 = -100
-4x2 = -100
Divide each side by '-4'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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