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Simplifying 15 + 3x = 2x2 + 2x Reorder the terms: 15 + 3x = 2x + 2x2 Solving 15 + 3x = 2x + 2x2 Solving for variable 'x'. Combine like terms: 3x + -2x = 1x 15 + 1x + -2x2 = 2x + 2x2 + -2x + -2x2 Reorder the terms: 15 + 1x + -2x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 15 + 1x + -2x2 = 0 + 2x2 + -2x2 15 + 1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 15 + 1x + -2x2 = 0 Factor a trinomial. (3 + -1x)(5 + 2x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {3, -2.5}
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