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Simplifying 270 = x(x + 3) Reorder the terms: 270 = x(3 + x) 270 = (3 * x + x * x) 270 = (3x + x2) Solving 270 = 3x + x2 Solving for variable 'x'. Reorder the terms: 270 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 270 + -3x + -1x2 = 0 + x2 + -1x2 270 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 270 + -3x + -1x2 = 0 Factor a trinomial. (15 + -1x)(18 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 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 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {15, -18}
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