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Simplifying 784 = (x + 8)(x + 8) + -1x2 Reorder the terms: 784 = (8 + x)(x + 8) + -1x2 Reorder the terms: 784 = (8 + x)(8 + x) + -1x2 Multiply (8 + x) * (8 + x) 784 = (8(8 + x) + x(8 + x)) + -1x2 784 = ((8 * 8 + x * 8) + x(8 + x)) + -1x2 784 = ((64 + 8x) + x(8 + x)) + -1x2 784 = (64 + 8x + (8 * x + x * x)) + -1x2 784 = (64 + 8x + (8x + x2)) + -1x2 Combine like terms: 8x + 8x = 16x 784 = (64 + 16x + x2) + -1x2 Combine like terms: x2 + -1x2 = 0 784 = 64 + 16x + 0 784 = 64 + 16x Solving 784 = 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. 784 + -16x = 64 + 16x + -16x Combine like terms: 16x + -16x = 0 784 + -16x = 64 + 0 784 + -16x = 64 Add '-784' to each side of the equation. 784 + -784 + -16x = 64 + -784 Combine like terms: 784 + -784 = 0 0 + -16x = 64 + -784 -16x = 64 + -784 Combine like terms: 64 + -784 = -720 -16x = -720 Divide each side by '-16'. x = 45 Simplifying x = 45
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