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Simplifying x(x + 12) = (x + -4)(x + -4) Reorder the terms: x(12 + x) = (x + -4)(x + -4) (12 * x + x * x) = (x + -4)(x + -4) (12x + x2) = (x + -4)(x + -4) Reorder the terms: 12x + x2 = (-4 + x)(x + -4) Reorder the terms: 12x + x2 = (-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) 12x + x2 = (-4(-4 + x) + x(-4 + x)) 12x + x2 = ((-4 * -4 + x * -4) + x(-4 + x)) 12x + x2 = ((16 + -4x) + x(-4 + x)) 12x + x2 = (16 + -4x + (-4 * x + x * x)) 12x + x2 = (16 + -4x + (-4x + x2)) Combine like terms: -4x + -4x = -8x 12x + x2 = (16 + -8x + x2) Add '-1x2' to each side of the equation. 12x + x2 + -1x2 = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12x + 0 = 16 + -8x + x2 + -1x2 12x = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12x = 16 + -8x + 0 12x = 16 + -8x Solving 12x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12x + 8x = 16 + -8x + 8x Combine like terms: 12x + 8x = 20x 20x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 20x = 16 + 0 20x = 16 Divide each side by '20'. x = 0.8 Simplifying x = 0.8
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