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Simplifying 3x = x2 + -12x + 36 Reorder the terms: 3x = 36 + -12x + x2 Solving 3x = 36 + -12x + x2 Solving for variable 'x'. Reorder the terms: -36 + 3x + 12x + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2 Combine like terms: 3x + 12x = 15x -36 + 15x + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2 Reorder the terms: -36 + 15x + -1x2 = 36 + -36 + -12x + 12x + x2 + -1x2 Combine like terms: 36 + -36 = 0 -36 + 15x + -1x2 = 0 + -12x + 12x + x2 + -1x2 -36 + 15x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 -36 + 15x + -1x2 = 0 + x2 + -1x2 -36 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + 15x + -1x2 = 0 Factor a trinomial. (-12 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Subproblem 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 = {12, 3}
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