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Simplifying x * x = (8.75 * 8.75) + (x + -1)(x + -1) Multiply x * x x2 = (8.75 * 8.75) + (x + -1)(x + -1) Multiply 8.75 * 8.75 x2 = (76.5625) + (x + -1)(x + -1) x2 = 76.5625 + (x + -1)(x + -1) Reorder the terms: x2 = 76.5625 + (-1 + x)(x + -1) Reorder the terms: x2 = 76.5625 + (-1 + x)(-1 + x) Multiply (-1 + x) * (-1 + x) x2 = 76.5625 + (-1(-1 + x) + x(-1 + x)) x2 = 76.5625 + ((-1 * -1 + x * -1) + x(-1 + x)) x2 = 76.5625 + ((1 + -1x) + x(-1 + x)) x2 = 76.5625 + (1 + -1x + (-1 * x + x * x)) x2 = 76.5625 + (1 + -1x + (-1x + x2)) Combine like terms: -1x + -1x = -2x x2 = 76.5625 + (1 + -2x + x2) Combine like terms: 76.5625 + 1 = 77.5625 x2 = 77.5625 + -2x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 77.5625 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 77.5625 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 77.5625 + -2x + 0 0 = 77.5625 + -2x Solving 0 = 77.5625 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0 + 2x = 77.5625 + -2x + 2x Remove the zero: 2x = 77.5625 + -2x + 2x Combine like terms: -2x + 2x = 0 2x = 77.5625 + 0 2x = 77.5625 Divide each side by '2'. x = 38.78125 Simplifying x = 38.78125
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