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Simplifying (-3 + -1x)(-2 + -1x) = 0 Multiply (-3 + -1x) * (-2 + -1x) (-3(-2 + -1x) + -1x * (-2 + -1x)) = 0 ((-2 * -3 + -1x * -3) + -1x * (-2 + -1x)) = 0 ((6 + 3x) + -1x * (-2 + -1x)) = 0 (6 + 3x + (-2 * -1x + -1x * -1x)) = 0 (6 + 3x + (2x + 1x2)) = 0 Combine like terms: 3x + 2x = 5x (6 + 5x + 1x2) = 0 Solving 6 + 5x + 1x2 = 0 Solving for variable 'x'. 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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