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Simplifying
100 = -16x2 + 380
Reorder the terms:
100 = 380 + -16x2
Solving
100 = 380 + -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 = 380 + -16x2 + 16x2
Combine like terms: -16x2 + 16x2 = 0
100 + 16x2 = 380 + 0
100 + 16x2 = 380
Add '-100' to each side of the equation.
100 + -100 + 16x2 = 380 + -100
Combine like terms: 100 + -100 = 0
0 + 16x2 = 380 + -100
16x2 = 380 + -100
Combine like terms: 380 + -100 = 280
16x2 = 280
Divide each side by '16'.
x2 = 17.5
Simplifying
x2 = 17.5
Take the square root of each side:
x = {-4.183300133, 4.183300133}
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