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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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