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Simplifying x2 + 11x + -3 = 9x + 5 Reorder the terms: -3 + 11x + x2 = 9x + 5 Reorder the terms: -3 + 11x + x2 = 5 + 9x Solving -3 + 11x + x2 = 5 + 9x Solving for variable 'x'. Reorder the terms: -3 + -5 + 11x + -9x + x2 = 5 + 9x + -5 + -9x Combine like terms: -3 + -5 = -8 -8 + 11x + -9x + x2 = 5 + 9x + -5 + -9x Combine like terms: 11x + -9x = 2x -8 + 2x + x2 = 5 + 9x + -5 + -9x Reorder the terms: -8 + 2x + x2 = 5 + -5 + 9x + -9x Combine like terms: 5 + -5 = 0 -8 + 2x + x2 = 0 + 9x + -9x -8 + 2x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 2x + x2 = 0 Factor a trinomial. (-4 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 2}
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