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Simplifying 4x2 + -11x + 15 = 2x + 6 Reorder the terms: 15 + -11x + 4x2 = 2x + 6 Reorder the terms: 15 + -11x + 4x2 = 6 + 2x Solving 15 + -11x + 4x2 = 6 + 2x Solving for variable 'x'. Reorder the terms: 15 + -6 + -11x + -2x + 4x2 = 6 + 2x + -6 + -2x Combine like terms: 15 + -6 = 9 9 + -11x + -2x + 4x2 = 6 + 2x + -6 + -2x Combine like terms: -11x + -2x = -13x 9 + -13x + 4x2 = 6 + 2x + -6 + -2x Reorder the terms: 9 + -13x + 4x2 = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 9 + -13x + 4x2 = 0 + 2x + -2x 9 + -13x + 4x2 = 2x + -2x Combine like terms: 2x + -2x = 0 9 + -13x + 4x2 = 0 Factor a trinomial. (1 + -1x)(9 + -4x) = 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 '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {1, 2.25}
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