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Simplifying 265 = (3x + 6.25)(x + 6.25) + -1(3x)(x) Reorder the terms: 265 = (6.25 + 3x)(x + 6.25) + -1(3x)(x) Reorder the terms: 265 = (6.25 + 3x)(6.25 + x) + -1(3x)(x) Multiply (6.25 + 3x) * (6.25 + x) 265 = (6.25(6.25 + x) + 3x * (6.25 + x)) + -1(3x)(x) 265 = ((6.25 * 6.25 + x * 6.25) + 3x * (6.25 + x)) + -1(3x)(x) 265 = ((39.0625 + 6.25x) + 3x * (6.25 + x)) + -1(3x)(x) 265 = (39.0625 + 6.25x + (6.25 * 3x + x * 3x)) + -1(3x)(x) 265 = (39.0625 + 6.25x + (18.75x + 3x2)) + -1(3x)(x) Combine like terms: 6.25x + 18.75x = 25x 265 = (39.0625 + 25x + 3x2) + -1(3x)(x) Remove parenthesis around (3x) 265 = 39.0625 + 25x + 3x2 + -1 * 3x(x) Multiply -1 * 3 265 = 39.0625 + 25x + 3x2 + -3x * x Multiply x * x 265 = 39.0625 + 25x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 265 = 39.0625 + 25x + 0 265 = 39.0625 + 25x Solving 265 = 39.0625 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 265 + -25x = 39.0625 + 25x + -25x Combine like terms: 25x + -25x = 0 265 + -25x = 39.0625 + 0 265 + -25x = 39.0625 Add '-265' to each side of the equation. 265 + -265 + -25x = 39.0625 + -265 Combine like terms: 265 + -265 = 0 0 + -25x = 39.0625 + -265 -25x = 39.0625 + -265 Combine like terms: 39.0625 + -265 = -225.9375 -25x = -225.9375 Divide each side by '-25'. x = 9.0375 Simplifying x = 9.0375
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