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Simplifying 4x2 + -13x + 15 = -2x + 9 Reorder the terms: 15 + -13x + 4x2 = -2x + 9 Reorder the terms: 15 + -13x + 4x2 = 9 + -2x Solving 15 + -13x + 4x2 = 9 + -2x Solving for variable 'x'. Reorder the terms: 15 + -9 + -13x + 2x + 4x2 = 9 + -2x + -9 + 2x Combine like terms: 15 + -9 = 6 6 + -13x + 2x + 4x2 = 9 + -2x + -9 + 2x Combine like terms: -13x + 2x = -11x 6 + -11x + 4x2 = 9 + -2x + -9 + 2x Reorder the terms: 6 + -11x + 4x2 = 9 + -9 + -2x + 2x Combine like terms: 9 + -9 = 0 6 + -11x + 4x2 = 0 + -2x + 2x 6 + -11x + 4x2 = -2x + 2x Combine like terms: -2x + 2x = 0 6 + -11x + 4x2 = 0 Factor a trinomial. (3 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.75, 2}
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