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Simplifying (x + 1.5)(x + -1.5) = 0 Reorder the terms: (1.5 + x)(x + -1.5) = 0 Reorder the terms: (1.5 + x)(-1.5 + x) = 0 Multiply (1.5 + x) * (-1.5 + x) (1.5(-1.5 + x) + x(-1.5 + x)) = 0 ((-1.5 * 1.5 + x * 1.5) + x(-1.5 + x)) = 0 ((-2.25 + 1.5x) + x(-1.5 + x)) = 0 (-2.25 + 1.5x + (-1.5 * x + x * x)) = 0 (-2.25 + 1.5x + (-1.5x + x2)) = 0 Combine like terms: 1.5x + -1.5x = 0.0 (-2.25 + 0.0 + x2) = 0 (-2.25 + x2) = 0 Solving -2.25 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + x2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + x2 = 0 + 2.25 x2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 x2 = 2.25 Simplifying x2 = 2.25 Take the square root of each side: x = {-1.5, 1.5}
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