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Simplifying x2 + 7x + 20 = 3x + 17 Reorder the terms: 20 + 7x + x2 = 3x + 17 Reorder the terms: 20 + 7x + x2 = 17 + 3x Solving 20 + 7x + x2 = 17 + 3x Solving for variable 'x'. Reorder the terms: 20 + -17 + 7x + -3x + x2 = 17 + 3x + -17 + -3x Combine like terms: 20 + -17 = 3 3 + 7x + -3x + x2 = 17 + 3x + -17 + -3x Combine like terms: 7x + -3x = 4x 3 + 4x + x2 = 17 + 3x + -17 + -3x Reorder the terms: 3 + 4x + x2 = 17 + -17 + 3x + -3x Combine like terms: 17 + -17 = 0 3 + 4x + x2 = 0 + 3x + -3x 3 + 4x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 3 + 4x + x2 = 0 Factor a trinomial. (3 + x)(1 + x) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, -1}
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