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Simplifying (3x + -2)(3x + -2) = 0 Reorder the terms: (-2 + 3x)(3x + -2) = 0 Reorder the terms: (-2 + 3x)(-2 + 3x) = 0 Multiply (-2 + 3x) * (-2 + 3x) (-2(-2 + 3x) + 3x * (-2 + 3x)) = 0 ((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = 0 ((4 + -6x) + 3x * (-2 + 3x)) = 0 (4 + -6x + (-2 * 3x + 3x * 3x)) = 0 (4 + -6x + (-6x + 9x2)) = 0 Combine like terms: -6x + -6x = -12x (4 + -12x + 9x2) = 0 Solving 4 + -12x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(2 + -3x) = 0Subproblem 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 '(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 = {0.6666666667, 0.6666666667}
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