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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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