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Simplifying (3x + -2)(3x + -3) = 0 Reorder the terms: (-2 + 3x)(3x + -3) = 0 Reorder the terms: (-2 + 3x)(-3 + 3x) = 0 Multiply (-2 + 3x) * (-3 + 3x) (-2(-3 + 3x) + 3x * (-3 + 3x)) = 0 ((-3 * -2 + 3x * -2) + 3x * (-3 + 3x)) = 0 ((6 + -6x) + 3x * (-3 + 3x)) = 0 (6 + -6x + (-3 * 3x + 3x * 3x)) = 0 (6 + -6x + (-9x + 9x2)) = 0 Combine like terms: -6x + -9x = -15x (6 + -15x + 9x2) = 0 Solving 6 + -15x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -5x + 3x2) = 0 Factor a trinomial. 3((2 + -3x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 0.6666666667Subproblem 2
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 = 1Solution
x = {0.6666666667, 1}
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