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Simplifying (2.83m2 + -2.12n2)(2.83m2 + 2.12n2) = 0 Multiply (2.83m2 + -2.12n2) * (2.83m2 + 2.12n2) (2.83m2 * (2.83m2 + 2.12n2) + -2.12n2 * (2.83m2 + 2.12n2)) = 0 ((2.83m2 * 2.83m2 + 2.12n2 * 2.83m2) + -2.12n2 * (2.83m2 + 2.12n2)) = 0 Reorder the terms: ((5.9996m2n2 + 8.0089m4) + -2.12n2 * (2.83m2 + 2.12n2)) = 0 ((5.9996m2n2 + 8.0089m4) + -2.12n2 * (2.83m2 + 2.12n2)) = 0 (5.9996m2n2 + 8.0089m4 + (2.83m2 * -2.12n2 + 2.12n2 * -2.12n2)) = 0 (5.9996m2n2 + 8.0089m4 + (-5.9996m2n2 + -4.4944n4)) = 0 Reorder the terms: (5.9996m2n2 + -5.9996m2n2 + 8.0089m4 + -4.4944n4) = 0 Combine like terms: 5.9996m2n2 + -5.9996m2n2 = 0.0000 (0.0000 + 8.0089m4 + -4.4944n4) = 0 (8.0089m4 + -4.4944n4) = 0 Solving 8.0089m4 + -4.4944n4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4.4944n4' to each side of the equation. 8.0089m4 + -4.4944n4 + 4.4944n4 = 0 + 4.4944n4 Combine like terms: -4.4944n4 + 4.4944n4 = 0.0000 8.0089m4 + 0.0000 = 0 + 4.4944n4 8.0089m4 = 0 + 4.4944n4 Remove the zero: 8.0089m4 = 4.4944n4 Divide each side by '8.0089'. m4 = 0.561175692n4 Simplifying m4 = 0.561175692n4 Combine like terms: 0.561175692n4 + -0.561175692n4 = 0.000000000 m4 + -0.561175692n4 = 0.000000000 The solution to this equation could not be determined.
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