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Simplifying 3(x + -2) + x(x + -2) = 0 Reorder the terms: 3(-2 + x) + x(x + -2) = 0 (-2 * 3 + x * 3) + x(x + -2) = 0 (-6 + 3x) + x(x + -2) = 0 Reorder the terms: -6 + 3x + x(-2 + x) = 0 -6 + 3x + (-2 * x + x * x) = 0 -6 + 3x + (-2x + x2) = 0 Combine like terms: 3x + -2x = 1x -6 + 1x + x2 = 0 Solving -6 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3, 2}
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