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Simplifying -27 + -3x = -1x2 + 1 Reorder the terms: -27 + -3x = 1 + -1x2 Solving -27 + -3x = 1 + -1x2 Solving for variable 'x'. Reorder the terms: -27 + -1 + -3x + x2 = 1 + -1x2 + -1 + x2 Combine like terms: -27 + -1 = -28 -28 + -3x + x2 = 1 + -1x2 + -1 + x2 Reorder the terms: -28 + -3x + x2 = 1 + -1 + -1x2 + x2 Combine like terms: 1 + -1 = 0 -28 + -3x + x2 = 0 + -1x2 + x2 -28 + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -28 + -3x + x2 = 0 Factor a trinomial. (-4 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-4, 7}
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