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Simplifying x2 + 5x + 23 = -7x + -4 Reorder the terms: 23 + 5x + x2 = -7x + -4 Reorder the terms: 23 + 5x + x2 = -4 + -7x Solving 23 + 5x + x2 = -4 + -7x Solving for variable 'x'. Reorder the terms: 23 + 4 + 5x + 7x + x2 = -4 + -7x + 4 + 7x Combine like terms: 23 + 4 = 27 27 + 5x + 7x + x2 = -4 + -7x + 4 + 7x Combine like terms: 5x + 7x = 12x 27 + 12x + x2 = -4 + -7x + 4 + 7x Reorder the terms: 27 + 12x + x2 = -4 + 4 + -7x + 7x Combine like terms: -4 + 4 = 0 27 + 12x + x2 = 0 + -7x + 7x 27 + 12x + x2 = -7x + 7x Combine like terms: -7x + 7x = 0 27 + 12x + x2 = 0 Factor a trinomial. (9 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-9, -3}
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