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Simplifying (2m + -5n)(5n + 2m) = x Reorder the terms: (2m + -5n)(2m + 5n) = x Multiply (2m + -5n) * (2m + 5n) (2m * (2m + 5n) + -5n * (2m + 5n)) = x ((2m * 2m + 5n * 2m) + -5n * (2m + 5n)) = x Reorder the terms: ((10mn + 4m2) + -5n * (2m + 5n)) = x ((10mn + 4m2) + -5n * (2m + 5n)) = x (10mn + 4m2 + (2m * -5n + 5n * -5n)) = x (10mn + 4m2 + (-10mn + -25n2)) = x Reorder the terms: (10mn + -10mn + 4m2 + -25n2) = x Combine like terms: 10mn + -10mn = 0 (0 + 4m2 + -25n2) = x (4m2 + -25n2) = x Solving 4m2 + -25n2 = x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25n2' to each side of the equation. 4m2 + -25n2 + 25n2 = 25n2 + x Combine like terms: -25n2 + 25n2 = 0 4m2 + 0 = 25n2 + x 4m2 = 25n2 + x Divide each side by '4'. m2 = 6.25n2 + 0.25x Simplifying m2 = 6.25n2 + 0.25x Reorder the terms: m2 + -6.25n2 + -0.25x = 6.25n2 + -6.25n2 + 0.25x + -0.25x Combine like terms: 6.25n2 + -6.25n2 = 0.00 m2 + -6.25n2 + -0.25x = 0.00 + 0.25x + -0.25x m2 + -6.25n2 + -0.25x = 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 m2 + -6.25n2 + -0.25x = 0.00 The solution to this equation could not be determined.
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