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Simplifying -1x(x + -3) + 9x + -27 = 0 Reorder the terms: -1x(-3 + x) + 9x + -27 = 0 (-3 * -1x + x * -1x) + 9x + -27 = 0 (3x + -1x2) + 9x + -27 = 0 Reorder the terms: -27 + 3x + 9x + -1x2 = 0 Combine like terms: 3x + 9x = 12x -27 + 12x + -1x2 = 0 Solving -27 + 12x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 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 = {9, 3}
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