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Simplifying
80 = -16x2 + 90
Reorder the terms:
80 = 90 + -16x2
Solving
80 = 90 + -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.
80 + 16x2 = 90 + -16x2 + 16x2
Combine like terms: -16x2 + 16x2 = 0
80 + 16x2 = 90 + 0
80 + 16x2 = 90
Add '-80' to each side of the equation.
80 + -80 + 16x2 = 90 + -80
Combine like terms: 80 + -80 = 0
0 + 16x2 = 90 + -80
16x2 = 90 + -80
Combine like terms: 90 + -80 = 10
16x2 = 10
Divide each side by '16'.
x2 = 0.625
Simplifying
x2 = 0.625
Take the square root of each side:
x = {-0.790569415, 0.790569415}
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