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Simplifying x2 + 12x + 36 = (x + 3)(x + -2) Reorder the terms: 36 + 12x + x2 = (x + 3)(x + -2) Reorder the terms: 36 + 12x + x2 = (3 + x)(x + -2) Reorder the terms: 36 + 12x + x2 = (3 + x)(-2 + x) Multiply (3 + x) * (-2 + x) 36 + 12x + x2 = (3(-2 + x) + x(-2 + x)) 36 + 12x + x2 = ((-2 * 3 + x * 3) + x(-2 + x)) 36 + 12x + x2 = ((-6 + 3x) + x(-2 + x)) 36 + 12x + x2 = (-6 + 3x + (-2 * x + x * x)) 36 + 12x + x2 = (-6 + 3x + (-2x + x2)) Combine like terms: 3x + -2x = 1x 36 + 12x + x2 = (-6 + 1x + x2) Add '-1x2' to each side of the equation. 36 + 12x + x2 + -1x2 = -6 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 12x + 0 = -6 + 1x + x2 + -1x2 36 + 12x = -6 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 12x = -6 + 1x + 0 36 + 12x = -6 + 1x Solving 36 + 12x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + 12x + -1x = -6 + 1x + -1x Combine like terms: 12x + -1x = 11x 36 + 11x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 36 + 11x = -6 + 0 36 + 11x = -6 Add '-36' to each side of the equation. 36 + -36 + 11x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 11x = -6 + -36 11x = -6 + -36 Combine like terms: -6 + -36 = -42 11x = -42 Divide each side by '11'. x = -3.818181818 Simplifying x = -3.818181818
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