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Simplifying (5x + 1)(5x + -1) = 0 Reorder the terms: (1 + 5x)(5x + -1) = 0 Reorder the terms: (1 + 5x)(-1 + 5x) = 0 Multiply (1 + 5x) * (-1 + 5x) (1(-1 + 5x) + 5x * (-1 + 5x)) = 0 ((-1 * 1 + 5x * 1) + 5x * (-1 + 5x)) = 0 ((-1 + 5x) + 5x * (-1 + 5x)) = 0 (-1 + 5x + (-1 * 5x + 5x * 5x)) = 0 (-1 + 5x + (-5x + 25x2)) = 0 Combine like terms: 5x + -5x = 0 (-1 + 0 + 25x2) = 0 (-1 + 25x2) = 0 Solving -1 + 25x2 = 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 + 25x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 25x2 = 0 + 1 25x2 = 0 + 1 Combine like terms: 0 + 1 = 1 25x2 = 1 Divide each side by '25'. x2 = 0.04 Simplifying x2 = 0.04 Take the square root of each side: x = {-0.2, 0.2}
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