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Simplifying 36 = x2 + 6x + 9 Reorder the terms: 36 = 9 + 6x + x2 Solving 36 = 9 + 6x + x2 Solving for variable 'x'. Combine like terms: 36 + -9 = 27 27 + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2 Reorder the terms: 27 + -6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2 Combine like terms: 9 + -9 = 0 27 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 27 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 27 + -6x + -1x2 = 0 + x2 + -1x2 27 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 27 + -6x + -1x2 = 0 Factor a trinomial. (3 + -1x)(9 + x) = 0Subproblem 1
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 = 3Subproblem 2
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 = -9Solution
x = {3, -9}
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