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Simplifying x2 = -8x + 33 Reorder the terms: x2 = 33 + -8x Solving x2 = 33 + -8x Solving for variable 'x'. Reorder the terms: -33 + 8x + x2 = 33 + -8x + -33 + 8x Reorder the terms: -33 + 8x + x2 = 33 + -33 + -8x + 8x Combine like terms: 33 + -33 = 0 -33 + 8x + x2 = 0 + -8x + 8x -33 + 8x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -33 + 8x + x2 = 0 Factor a trinomial. (-11 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
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 = 3Solution
x = {-11, 3}
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