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Simplifying 3mn + 6m2 + -1n2 + 3 + -1m2 + -3mn + 2n2 + -4 = 0 Reorder the terms: 3 + -4 + 3mn + -3mn + 6m2 + -1m2 + -1n2 + 2n2 = 0 Combine like terms: 3 + -4 = -1 -1 + 3mn + -3mn + 6m2 + -1m2 + -1n2 + 2n2 = 0 Combine like terms: 3mn + -3mn = 0 -1 + 0 + 6m2 + -1m2 + -1n2 + 2n2 = 0 -1 + 6m2 + -1m2 + -1n2 + 2n2 = 0 Combine like terms: 6m2 + -1m2 = 5m2 -1 + 5m2 + -1n2 + 2n2 = 0 Combine like terms: -1n2 + 2n2 = 1n2 -1 + 5m2 + 1n2 = 0 Solving -1 + 5m2 + 1n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5m2 + 1 + 1n2 = 0 + 1 Reorder the terms: -1 + 1 + 5m2 + 1n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5m2 + 1n2 = 0 + 1 5m2 + 1n2 = 0 + 1 Combine like terms: 0 + 1 = 1 5m2 + 1n2 = 1 Add '-1n2' to each side of the equation. 5m2 + 1n2 + -1n2 = 1 + -1n2 Combine like terms: 1n2 + -1n2 = 0 5m2 + 0 = 1 + -1n2 5m2 = 1 + -1n2 Divide each side by '5'. m2 = 0.2 + -0.2n2 Simplifying m2 = 0.2 + -0.2n2 Reorder the terms: -0.2 + m2 + 0.2n2 = 0.2 + -0.2n2 + -0.2 + 0.2n2 Reorder the terms: -0.2 + m2 + 0.2n2 = 0.2 + -0.2 + -0.2n2 + 0.2n2 Combine like terms: 0.2 + -0.2 = 0.0 -0.2 + m2 + 0.2n2 = 0.0 + -0.2n2 + 0.2n2 -0.2 + m2 + 0.2n2 = -0.2n2 + 0.2n2 Combine like terms: -0.2n2 + 0.2n2 = 0.0 -0.2 + m2 + 0.2n2 = 0.0 The solution to this equation could not be determined.
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