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Simplifying (2x + 6)(x + -3) = 0 Reorder the terms: (6 + 2x)(x + -3) = 0 Reorder the terms: (6 + 2x)(-3 + x) = 0 Multiply (6 + 2x) * (-3 + x) (6(-3 + x) + 2x * (-3 + x)) = 0 ((-3 * 6 + x * 6) + 2x * (-3 + x)) = 0 ((-18 + 6x) + 2x * (-3 + x)) = 0 (-18 + 6x + (-3 * 2x + x * 2x)) = 0 (-18 + 6x + (-6x + 2x2)) = 0 Combine like terms: 6x + -6x = 0 (-18 + 0 + 2x2) = 0 (-18 + 2x2) = 0 Solving -18 + 2x2 = 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 + 2x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x2 = 0 + 18 2x2 = 0 + 18 Combine like terms: 0 + 18 = 18 2x2 = 18 Divide each side by '2'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3}
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