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Simplifying (-2x + 3)(-2x + -3) = 0 Reorder the terms: (3 + -2x)(-2x + -3) = 0 Reorder the terms: (3 + -2x)(-3 + -2x) = 0 Multiply (3 + -2x) * (-3 + -2x) (3(-3 + -2x) + -2x * (-3 + -2x)) = 0 ((-3 * 3 + -2x * 3) + -2x * (-3 + -2x)) = 0 ((-9 + -6x) + -2x * (-3 + -2x)) = 0 (-9 + -6x + (-3 * -2x + -2x * -2x)) = 0 (-9 + -6x + (6x + 4x2)) = 0 Combine like terms: -6x + 6x = 0 (-9 + 0 + 4x2) = 0 (-9 + 4x2) = 0 Solving -9 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x2 = 0 + 9 4x2 = 0 + 9 Combine like terms: 0 + 9 = 9 4x2 = 9 Divide each side by '4'. x2 = 2.25 Simplifying x2 = 2.25 Take the square root of each side: x = {-1.5, 1.5}
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