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Simplifying x(2x + -13) = 15 Reorder the terms: x(-13 + 2x) = 15 (-13 * x + 2x * x) = 15 (-13x + 2x2) = 15 Solving -13x + 2x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + -13x + 2x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -13x + 2x2 = 0 Factor a trinomial. (-1 + -1x)(15 + -2x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Solution
x = {-1, 7.5}
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