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Simplifying x2 + 2x + -30 = -6x + 3 Reorder the terms: -30 + 2x + x2 = -6x + 3 Reorder the terms: -30 + 2x + x2 = 3 + -6x Solving -30 + 2x + x2 = 3 + -6x Solving for variable 'x'. Reorder the terms: -30 + -3 + 2x + 6x + x2 = 3 + -6x + -3 + 6x Combine like terms: -30 + -3 = -33 -33 + 2x + 6x + x2 = 3 + -6x + -3 + 6x Combine like terms: 2x + 6x = 8x -33 + 8x + x2 = 3 + -6x + -3 + 6x Reorder the terms: -33 + 8x + x2 = 3 + -3 + -6x + 6x Combine like terms: 3 + -3 = 0 -33 + 8x + x2 = 0 + -6x + 6x -33 + 8x + x2 = -6x + 6x Combine like terms: -6x + 6x = 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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