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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 = 0 (-4 + 0 + 9x2) = 0 (-4 + 9x2) = 0 Solving -4 + 9x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x2 = 0 + 4 9x2 = 0 + 4 Combine like terms: 0 + 4 = 4 9x2 = 4 Divide each side by '9'. x2 = 0.4444444444 Simplifying x2 = 0.4444444444 Take the square root of each side: x = {-0.666666667, 0.666666667}
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