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Simplifying (x + -6)(x + 3) = x2 + 12x Reorder the terms: (-6 + x)(x + 3) = x2 + 12x Reorder the terms: (-6 + x)(3 + x) = x2 + 12x Multiply (-6 + x) * (3 + x) (-6(3 + x) + x(3 + x)) = x2 + 12x ((3 * -6 + x * -6) + x(3 + x)) = x2 + 12x ((-18 + -6x) + x(3 + x)) = x2 + 12x (-18 + -6x + (3 * x + x * x)) = x2 + 12x (-18 + -6x + (3x + x2)) = x2 + 12x Combine like terms: -6x + 3x = -3x (-18 + -3x + x2) = x2 + 12x Reorder the terms: -18 + -3x + x2 = 12x + x2 Add '-1x2' to each side of the equation. -18 + -3x + x2 + -1x2 = 12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x + 0 = 12x + x2 + -1x2 -18 + -3x = 12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x = 12x + 0 -18 + -3x = 12x Solving -18 + -3x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + -3x + -12x = 12x + -12x Combine like terms: -3x + -12x = -15x -18 + -15x = 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -15x = 0 Add '18' to each side of the equation. -18 + 18 + -15x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = 0 + 18 -15x = 0 + 18 Combine like terms: 0 + 18 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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