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Simplifying -1x2 = -6x + 9 Reorder the terms: -1x2 = 9 + -6x Solving -1x2 = 9 + -6x Solving for variable 'x'. Reorder the terms: -9 + 6x + -1x2 = 9 + -6x + -9 + 6x Reorder the terms: -9 + 6x + -1x2 = 9 + -9 + -6x + 6x Combine like terms: 9 + -9 = 0 -9 + 6x + -1x2 = 0 + -6x + 6x -9 + 6x + -1x2 = -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 6x + -1x2 = 0 Factor a trinomial. (-3 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 3}
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