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Simplifying (3x + -2)(x + 1) = 0 Reorder the terms: (-2 + 3x)(x + 1) = 0 Reorder the terms: (-2 + 3x)(1 + x) = 0 Multiply (-2 + 3x) * (1 + x) (-2(1 + x) + 3x * (1 + x)) = 0 ((1 * -2 + x * -2) + 3x * (1 + x)) = 0 ((-2 + -2x) + 3x * (1 + x)) = 0 (-2 + -2x + (1 * 3x + x * 3x)) = 0 (-2 + -2x + (3x + 3x2)) = 0 Combine like terms: -2x + 3x = 1x (-2 + 1x + 3x2) = 0 Solving -2 + 1x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(2 + -3x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-1, 0.6666666667}
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