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Simplifying x2 + -7x + -33 = 2x + 3 Reorder the terms: -33 + -7x + x2 = 2x + 3 Reorder the terms: -33 + -7x + x2 = 3 + 2x Solving -33 + -7x + x2 = 3 + 2x Solving for variable 'x'. Reorder the terms: -33 + -3 + -7x + -2x + x2 = 3 + 2x + -3 + -2x Combine like terms: -33 + -3 = -36 -36 + -7x + -2x + x2 = 3 + 2x + -3 + -2x Combine like terms: -7x + -2x = -9x -36 + -9x + x2 = 3 + 2x + -3 + -2x Reorder the terms: -36 + -9x + x2 = 3 + -3 + 2x + -2x Combine like terms: 3 + -3 = 0 -36 + -9x + x2 = 0 + 2x + -2x -36 + -9x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -36 + -9x + x2 = 0 Factor a trinomial. (-3 + -1x)(12 + -1x) = 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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-3, 12}
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