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Simplifying 2x2 + 8x = 5x + 9 Reorder the terms: 8x + 2x2 = 5x + 9 Reorder the terms: 8x + 2x2 = 9 + 5x Solving 8x + 2x2 = 9 + 5x Solving for variable 'x'. Reorder the terms: -9 + 8x + -5x + 2x2 = 9 + 5x + -9 + -5x Combine like terms: 8x + -5x = 3x -9 + 3x + 2x2 = 9 + 5x + -9 + -5x Reorder the terms: -9 + 3x + 2x2 = 9 + -9 + 5x + -5x Combine like terms: 9 + -9 = 0 -9 + 3x + 2x2 = 0 + 5x + -5x -9 + 3x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 3x + 2x2 = 0 Factor a trinomial. (-3 + -1x)(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-3, 1.5}
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