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Simplifying (3x + -2)(x + 2) = 0 Reorder the terms: (-2 + 3x)(x + 2) = 0 Reorder the terms: (-2 + 3x)(2 + x) = 0 Multiply (-2 + 3x) * (2 + x) (-2(2 + x) + 3x * (2 + x)) = 0 ((2 * -2 + x * -2) + 3x * (2 + x)) = 0 ((-4 + -2x) + 3x * (2 + x)) = 0 (-4 + -2x + (2 * 3x + x * 3x)) = 0 (-4 + -2x + (6x + 3x2)) = 0 Combine like terms: -2x + 6x = 4x (-4 + 4x + 3x2) = 0 Solving -4 + 4x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(2 + -3x) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 0.6666666667}
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