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Simplifying 39 + 6x + 6 = x2 + 2x Reorder the terms: 39 + 6 + 6x = x2 + 2x Combine like terms: 39 + 6 = 45 45 + 6x = x2 + 2x Reorder the terms: 45 + 6x = 2x + x2 Solving 45 + 6x = 2x + x2 Solving for variable 'x'. Combine like terms: 6x + -2x = 4x 45 + 4x + -1x2 = 2x + x2 + -2x + -1x2 Reorder the terms: 45 + 4x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 45 + 4x + -1x2 = 0 + x2 + -1x2 45 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + 4x + -1x2 = 0 Factor a trinomial. (9 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {9, -5}
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