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Simplifying x2 + 5x + 5x + 18 = 9 Reorder the terms: 18 + 5x + 5x + x2 = 9 Combine like terms: 5x + 5x = 10x 18 + 10x + x2 = 9 Solving 18 + 10x + x2 = 9 Solving for variable 'x'. Reorder the terms: 18 + -9 + 10x + x2 = 9 + -9 Combine like terms: 18 + -9 = 9 9 + 10x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 9 + 10x + x2 = 0 Factor a trinomial. (9 + x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-9, -1}
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