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Simplifying (2x + -12)(x + 6) = 0 Reorder the terms: (-12 + 2x)(x + 6) = 0 Reorder the terms: (-12 + 2x)(6 + x) = 0 Multiply (-12 + 2x) * (6 + x) (-12(6 + x) + 2x * (6 + x)) = 0 ((6 * -12 + x * -12) + 2x * (6 + x)) = 0 ((-72 + -12x) + 2x * (6 + x)) = 0 (-72 + -12x + (6 * 2x + x * 2x)) = 0 (-72 + -12x + (12x + 2x2)) = 0 Combine like terms: -12x + 12x = 0 (-72 + 0 + 2x2) = 0 (-72 + 2x2) = 0 Solving -72 + 2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 2x2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 2x2 = 0 + 72 2x2 = 0 + 72 Combine like terms: 0 + 72 = 72 2x2 = 72 Divide each side by '2'. x2 = 36 Simplifying x2 = 36 Take the square root of each side: x = {-6, 6}
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