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Simplifying (5m + -2)(5m + 2) = 0 Reorder the terms: (-2 + 5m)(5m + 2) = 0 Reorder the terms: (-2 + 5m)(2 + 5m) = 0 Multiply (-2 + 5m) * (2 + 5m) (-2(2 + 5m) + 5m * (2 + 5m)) = 0 ((2 * -2 + 5m * -2) + 5m * (2 + 5m)) = 0 ((-4 + -10m) + 5m * (2 + 5m)) = 0 (-4 + -10m + (2 * 5m + 5m * 5m)) = 0 (-4 + -10m + (10m + 25m2)) = 0 Combine like terms: -10m + 10m = 0 (-4 + 0 + 25m2) = 0 (-4 + 25m2) = 0 Solving -4 + 25m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 25m2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 25m2 = 0 + 4 25m2 = 0 + 4 Combine like terms: 0 + 4 = 4 25m2 = 4 Divide each side by '25'. m2 = 0.16 Simplifying m2 = 0.16 Take the square root of each side: m = {-0.4, 0.4}
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