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Simplifying x2 + 5x + -27 = 7x + -3 Reorder the terms: -27 + 5x + x2 = 7x + -3 Reorder the terms: -27 + 5x + x2 = -3 + 7x Solving -27 + 5x + x2 = -3 + 7x Solving for variable 'x'. Reorder the terms: -27 + 3 + 5x + -7x + x2 = -3 + 7x + 3 + -7x Combine like terms: -27 + 3 = -24 -24 + 5x + -7x + x2 = -3 + 7x + 3 + -7x Combine like terms: 5x + -7x = -2x -24 + -2x + x2 = -3 + 7x + 3 + -7x Reorder the terms: -24 + -2x + x2 = -3 + 3 + 7x + -7x Combine like terms: -3 + 3 = 0 -24 + -2x + x2 = 0 + 7x + -7x -24 + -2x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x + x2 = 0 Factor a trinomial. (-4 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-4, 6}
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