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Simplifying 0 = x2 + 5x + -36 Reorder the terms: 0 = -36 + 5x + x2 Solving 0 = -36 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -5x + -1x2 = -36 + 5x + x2 + 36 + -5x + -1x2 Reorder the terms: 36 + -5x + -1x2 = -36 + 36 + 5x + -5x + x2 + -1x2 Combine like terms: -36 + 36 = 0 36 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 36 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 36 + -5x + -1x2 = 0 + x2 + -1x2 36 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + -5x + -1x2 = 0 Factor a trinomial. (4 + -1x)(9 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -9}
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