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Simplifying x(x + -2) + -1(x + -3)(x + 3) = 0 Reorder the terms: x(-2 + x) + -1(x + -3)(x + 3) = 0 (-2 * x + x * x) + -1(x + -3)(x + 3) = 0 (-2x + x2) + -1(x + -3)(x + 3) = 0 Reorder the terms: -2x + x2 + -1(-3 + x)(x + 3) = 0 Reorder the terms: -2x + x2 + -1(-3 + x)(3 + x) = 0 Multiply (-3 + x) * (3 + x) -2x + x2 + -1(-3(3 + x) + x(3 + x)) = 0 -2x + x2 + -1((3 * -3 + x * -3) + x(3 + x)) = 0 -2x + x2 + -1((-9 + -3x) + x(3 + x)) = 0 -2x + x2 + -1(-9 + -3x + (3 * x + x * x)) = 0 -2x + x2 + -1(-9 + -3x + (3x + x2)) = 0 Combine like terms: -3x + 3x = 0 -2x + x2 + -1(-9 + 0 + x2) = 0 -2x + x2 + -1(-9 + x2) = 0 -2x + x2 + (-9 * -1 + x2 * -1) = 0 -2x + x2 + (9 + -1x2) = 0 Reorder the terms: 9 + -2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 9 + -2x + 0 = 0 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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