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Simplifying (x + -6)(x + -6) + 576 = (x + 10)(x + 10) Reorder the terms: (-6 + x)(x + -6) + 576 = (x + 10)(x + 10) Reorder the terms: (-6 + x)(-6 + x) + 576 = (x + 10)(x + 10) Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) + 576 = (x + 10)(x + 10) ((-6 * -6 + x * -6) + x(-6 + x)) + 576 = (x + 10)(x + 10) ((36 + -6x) + x(-6 + x)) + 576 = (x + 10)(x + 10) (36 + -6x + (-6 * x + x * x)) + 576 = (x + 10)(x + 10) (36 + -6x + (-6x + x2)) + 576 = (x + 10)(x + 10) Combine like terms: -6x + -6x = -12x (36 + -12x + x2) + 576 = (x + 10)(x + 10) Reorder the terms: 36 + 576 + -12x + x2 = (x + 10)(x + 10) Combine like terms: 36 + 576 = 612 612 + -12x + x2 = (x + 10)(x + 10) Reorder the terms: 612 + -12x + x2 = (10 + x)(x + 10) Reorder the terms: 612 + -12x + x2 = (10 + x)(10 + x) Multiply (10 + x) * (10 + x) 612 + -12x + x2 = (10(10 + x) + x(10 + x)) 612 + -12x + x2 = ((10 * 10 + x * 10) + x(10 + x)) 612 + -12x + x2 = ((100 + 10x) + x(10 + x)) 612 + -12x + x2 = (100 + 10x + (10 * x + x * x)) 612 + -12x + x2 = (100 + 10x + (10x + x2)) Combine like terms: 10x + 10x = 20x 612 + -12x + x2 = (100 + 20x + x2) Add '-1x2' to each side of the equation. 612 + -12x + x2 + -1x2 = 100 + 20x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 612 + -12x + 0 = 100 + 20x + x2 + -1x2 612 + -12x = 100 + 20x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 612 + -12x = 100 + 20x + 0 612 + -12x = 100 + 20x Solving 612 + -12x = 100 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 612 + -12x + -20x = 100 + 20x + -20x Combine like terms: -12x + -20x = -32x 612 + -32x = 100 + 20x + -20x Combine like terms: 20x + -20x = 0 612 + -32x = 100 + 0 612 + -32x = 100 Add '-612' to each side of the equation. 612 + -612 + -32x = 100 + -612 Combine like terms: 612 + -612 = 0 0 + -32x = 100 + -612 -32x = 100 + -612 Combine like terms: 100 + -612 = -512 -32x = -512 Divide each side by '-32'. x = 16 Simplifying x = 16
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