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Simplifying
100 = 16x2 + 16
Reorder the terms:
100 = 16 + 16x2
Solving
100 = 16 + 16x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16x2' to each side of the equation.
100 + -16x2 = 16 + 16x2 + -16x2
Combine like terms: 16x2 + -16x2 = 0
100 + -16x2 = 16 + 0
100 + -16x2 = 16
Add '-100' to each side of the equation.
100 + -100 + -16x2 = 16 + -100
Combine like terms: 100 + -100 = 0
0 + -16x2 = 16 + -100
-16x2 = 16 + -100
Combine like terms: 16 + -100 = -84
-16x2 = -84
Divide each side by '-16'.
x2 = 5.25
Simplifying
x2 = 5.25
Take the square root of each side:
x = {-2.291287847, 2.291287847}
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