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Simplifying (5x + -1)(25x2 + 5x + 1) = 0 Reorder the terms: (-1 + 5x)(25x2 + 5x + 1) = 0 Reorder the terms: (-1 + 5x)(1 + 5x + 25x2) = 0 Multiply (-1 + 5x) * (1 + 5x + 25x2) (-1(1 + 5x + 25x2) + 5x * (1 + 5x + 25x2)) = 0 ((1 * -1 + 5x * -1 + 25x2 * -1) + 5x * (1 + 5x + 25x2)) = 0 ((-1 + -5x + -25x2) + 5x * (1 + 5x + 25x2)) = 0 (-1 + -5x + -25x2 + (1 * 5x + 5x * 5x + 25x2 * 5x)) = 0 (-1 + -5x + -25x2 + (5x + 25x2 + 125x3)) = 0 Reorder the terms: (-1 + -5x + 5x + -25x2 + 25x2 + 125x3) = 0 Combine like terms: -5x + 5x = 0 (-1 + 0 + -25x2 + 25x2 + 125x3) = 0 (-1 + -25x2 + 25x2 + 125x3) = 0 Combine like terms: -25x2 + 25x2 = 0 (-1 + 0 + 125x3) = 0 (-1 + 125x3) = 0 Solving -1 + 125x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 125x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 125x3 = 0 + 1 125x3 = 0 + 1 Combine like terms: 0 + 1 = 1 125x3 = 1 Divide each side by '125'. x3 = 0.008 Simplifying x3 = 0.008 Reorder the terms: -0.008 + x3 = 0.008 + -0.008 Combine like terms: 0.008 + -0.008 = 0.000 -0.008 + x3 = 0.000 The solution to this equation could not be determined.
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