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Simplifying 150 = x(x + 5) Reorder the terms: 150 = x(5 + x) 150 = (5 * x + x * x) 150 = (5x + x2) Solving 150 = 5x + x2 Solving for variable 'x'. Reorder the terms: 150 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 150 + -5x + -1x2 = 0 + x2 + -1x2 150 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 150 + -5x + -1x2 = 0 Factor a trinomial. (10 + -1x)(15 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {10, -15}
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