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Simplifying (-5m + 8)(-5m + -8) = 0 Reorder the terms: (8 + -5m)(-5m + -8) = 0 Reorder the terms: (8 + -5m)(-8 + -5m) = 0 Multiply (8 + -5m) * (-8 + -5m) (8(-8 + -5m) + -5m * (-8 + -5m)) = 0 ((-8 * 8 + -5m * 8) + -5m * (-8 + -5m)) = 0 ((-64 + -40m) + -5m * (-8 + -5m)) = 0 (-64 + -40m + (-8 * -5m + -5m * -5m)) = 0 (-64 + -40m + (40m + 25m2)) = 0 Combine like terms: -40m + 40m = 0 (-64 + 0 + 25m2) = 0 (-64 + 25m2) = 0 Solving -64 + 25m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 25m2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 25m2 = 0 + 64 25m2 = 0 + 64 Combine like terms: 0 + 64 = 64 25m2 = 64 Divide each side by '25'. m2 = 2.56 Simplifying m2 = 2.56 Take the square root of each side: m = {-1.6, 1.6}
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