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Simplifying 2x2 = -19x + -39 Reorder the terms: 2x2 = -39 + -19x Solving 2x2 = -39 + -19x Solving for variable 'x'. Reorder the terms: 39 + 19x + 2x2 = -39 + -19x + 39 + 19x Reorder the terms: 39 + 19x + 2x2 = -39 + 39 + -19x + 19x Combine like terms: -39 + 39 = 0 39 + 19x + 2x2 = 0 + -19x + 19x 39 + 19x + 2x2 = -19x + 19x Combine like terms: -19x + 19x = 0 39 + 19x + 2x2 = 0 Factor a trinomial. (13 + 2x)(3 + x) = 0Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Subproblem 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 = {-6.5, -3}
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