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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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