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Simplifying 360 = x(x + 2) Reorder the terms: 360 = x(2 + x) 360 = (2 * x + x * x) 360 = (2x + x2) Solving 360 = 2x + x2 Solving for variable 'x'. Reorder the terms: 360 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 360 + -2x + -1x2 = 0 + x2 + -1x2 360 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 360 + -2x + -1x2 = 0 Factor a trinomial. (18 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {18, -20}
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