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Simplifying x(2 + -3x) + 3(x2 + -6) = 0 (2 * x + -3x * x) + 3(x2 + -6) = 0 (2x + -3x2) + 3(x2 + -6) = 0 Reorder the terms: 2x + -3x2 + 3(-6 + x2) = 0 2x + -3x2 + (-6 * 3 + x2 * 3) = 0 2x + -3x2 + (-18 + 3x2) = 0 Reorder the terms: -18 + 2x + -3x2 + 3x2 = 0 Combine like terms: -3x2 + 3x2 = 0 -18 + 2x + 0 = 0 -18 + 2x = 0 Solving -18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 0 + 18 2x = 0 + 18 Combine like terms: 0 + 18 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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