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Simplifying (5x + -1)(5x + 1) = 25x2 + -7x + 15 Reorder the terms: (-1 + 5x)(5x + 1) = 25x2 + -7x + 15 Reorder the terms: (-1 + 5x)(1 + 5x) = 25x2 + -7x + 15 Multiply (-1 + 5x) * (1 + 5x) (-1(1 + 5x) + 5x * (1 + 5x)) = 25x2 + -7x + 15 ((1 * -1 + 5x * -1) + 5x * (1 + 5x)) = 25x2 + -7x + 15 ((-1 + -5x) + 5x * (1 + 5x)) = 25x2 + -7x + 15 (-1 + -5x + (1 * 5x + 5x * 5x)) = 25x2 + -7x + 15 (-1 + -5x + (5x + 25x2)) = 25x2 + -7x + 15 Combine like terms: -5x + 5x = 0 (-1 + 0 + 25x2) = 25x2 + -7x + 15 (-1 + 25x2) = 25x2 + -7x + 15 Reorder the terms: -1 + 25x2 = 15 + -7x + 25x2 Add '-25x2' to each side of the equation. -1 + 25x2 + -25x2 = 15 + -7x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -1 + 0 = 15 + -7x + 25x2 + -25x2 -1 = 15 + -7x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -1 = 15 + -7x + 0 -1 = 15 + -7x Solving -1 = 15 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + 7x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 7x = 15 + 0 -1 + 7x = 15 Add '1' to each side of the equation. -1 + 1 + 7x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 15 + 1 7x = 15 + 1 Combine like terms: 15 + 1 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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