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Simplifying 12x = 27 + x2 Solving 12x = 27 + x2 Solving for variable 'x'. Reorder the terms: -27 + 12x + -1x2 = 27 + x2 + -27 + -1x2 Reorder the terms: -27 + 12x + -1x2 = 27 + -27 + x2 + -1x2 Combine like terms: 27 + -27 = 0 -27 + 12x + -1x2 = 0 + x2 + -1x2 -27 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -27 + 12x + -1x2 = 0 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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