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Simplifying 3x2 + 5x = 2x2 + -6 Reorder the terms: 5x + 3x2 = 2x2 + -6 Reorder the terms: 5x + 3x2 = -6 + 2x2 Solving 5x + 3x2 = -6 + 2x2 Solving for variable 'x'. Reorder the terms: 6 + 5x + 3x2 + -2x2 = -6 + 2x2 + 6 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 6 + 5x + 1x2 = -6 + 2x2 + 6 + -2x2 Reorder the terms: 6 + 5x + 1x2 = -6 + 6 + 2x2 + -2x2 Combine like terms: -6 + 6 = 0 6 + 5x + 1x2 = 0 + 2x2 + -2x2 6 + 5x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6 + 5x + 1x2 = 0 Factor a trinomial. (3 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3, -2}
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