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Simplifying
160(3.14) = 250(3.14) + -10(3.14) * x2
Multiply 160 * 3.14
502.4 = 250(3.14) + -10(3.14) * x2
Multiply 250 * 3.14
502.4 = 785 + -10(3.14) * x2
Multiply -10 * 3.14
502.4 = 785 + -31.4x2
Solving
502.4 = 785 + -31.4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '31.4x2' to each side of the equation.
502.4 + 31.4x2 = 785 + -31.4x2 + 31.4x2
Combine like terms: -31.4x2 + 31.4x2 = 0.0
502.4 + 31.4x2 = 785 + 0.0
502.4 + 31.4x2 = 785
Add '-502.4' to each side of the equation.
502.4 + -502.4 + 31.4x2 = 785 + -502.4
Combine like terms: 502.4 + -502.4 = 0.0
0.0 + 31.4x2 = 785 + -502.4
31.4x2 = 785 + -502.4
Combine like terms: 785 + -502.4 = 282.6
31.4x2 = 282.6
Divide each side by '31.4'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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