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Simplifying x2 + 7x + 10 = 5x + 9 Reorder the terms: 10 + 7x + x2 = 5x + 9 Reorder the terms: 10 + 7x + x2 = 9 + 5x Solving 10 + 7x + x2 = 9 + 5x Solving for variable 'x'. Reorder the terms: 10 + -9 + 7x + -5x + x2 = 9 + 5x + -9 + -5x Combine like terms: 10 + -9 = 1 1 + 7x + -5x + x2 = 9 + 5x + -9 + -5x Combine like terms: 7x + -5x = 2x 1 + 2x + x2 = 9 + 5x + -9 + -5x Reorder the terms: 1 + 2x + x2 = 9 + -9 + 5x + -5x Combine like terms: 9 + -9 = 0 1 + 2x + x2 = 0 + 5x + -5x 1 + 2x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 1 + 2x + x2 = 0 Factor a trinomial. (1 + x)(1 + x) = 0Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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