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Simplifying 256 + x2 = (x + 8)(x + 8) Reorder the terms: 256 + x2 = (8 + x)(x + 8) Reorder the terms: 256 + x2 = (8 + x)(8 + x) Multiply (8 + x) * (8 + x) 256 + x2 = (8(8 + x) + x(8 + x)) 256 + x2 = ((8 * 8 + x * 8) + x(8 + x)) 256 + x2 = ((64 + 8x) + x(8 + x)) 256 + x2 = (64 + 8x + (8 * x + x * x)) 256 + x2 = (64 + 8x + (8x + x2)) Combine like terms: 8x + 8x = 16x 256 + x2 = (64 + 16x + x2) Add '-1x2' to each side of the equation. 256 + x2 + -1x2 = 64 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 256 + 0 = 64 + 16x + x2 + -1x2 256 = 64 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 256 = 64 + 16x + 0 256 = 64 + 16x Solving 256 = 64 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 256 + -16x = 64 + 16x + -16x Combine like terms: 16x + -16x = 0 256 + -16x = 64 + 0 256 + -16x = 64 Add '-256' to each side of the equation. 256 + -256 + -16x = 64 + -256 Combine like terms: 256 + -256 = 0 0 + -16x = 64 + -256 -16x = 64 + -256 Combine like terms: 64 + -256 = -192 -16x = -192 Divide each side by '-16'. x = 12 Simplifying x = 12
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