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Simplifying 32m2 + 14n2 + -12m2 + 5n + -3 = 0 Reorder the terms: -3 + 32m2 + -12m2 + 5n + 14n2 = 0 Combine like terms: 32m2 + -12m2 = 20m2 -3 + 20m2 + 5n + 14n2 = 0 Solving -3 + 20m2 + 5n + 14n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 20m2 + 5n + 3 + 14n2 = 0 + 3 Reorder the terms: -3 + 3 + 20m2 + 5n + 14n2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 20m2 + 5n + 14n2 = 0 + 3 20m2 + 5n + 14n2 = 0 + 3 Combine like terms: 0 + 3 = 3 20m2 + 5n + 14n2 = 3 Add '-5n' to each side of the equation. 20m2 + 5n + -5n + 14n2 = 3 + -5n Combine like terms: 5n + -5n = 0 20m2 + 0 + 14n2 = 3 + -5n 20m2 + 14n2 = 3 + -5n Add '-14n2' to each side of the equation. 20m2 + 14n2 + -14n2 = 3 + -5n + -14n2 Combine like terms: 14n2 + -14n2 = 0 20m2 + 0 = 3 + -5n + -14n2 20m2 = 3 + -5n + -14n2 Divide each side by '20'. m2 = 0.15 + -0.25n + -0.7n2 Simplifying m2 = 0.15 + -0.25n + -0.7n2 Reorder the terms: -0.15 + m2 + 0.25n + 0.7n2 = 0.15 + -0.25n + -0.7n2 + -0.15 + 0.25n + 0.7n2 Reorder the terms: -0.15 + m2 + 0.25n + 0.7n2 = 0.15 + -0.15 + -0.25n + 0.25n + -0.7n2 + 0.7n2 Combine like terms: 0.15 + -0.15 = 0.00 -0.15 + m2 + 0.25n + 0.7n2 = 0.00 + -0.25n + 0.25n + -0.7n2 + 0.7n2 -0.15 + m2 + 0.25n + 0.7n2 = -0.25n + 0.25n + -0.7n2 + 0.7n2 Combine like terms: -0.25n + 0.25n = 0.00 -0.15 + m2 + 0.25n + 0.7n2 = 0.00 + -0.7n2 + 0.7n2 -0.15 + m2 + 0.25n + 0.7n2 = -0.7n2 + 0.7n2 Combine like terms: -0.7n2 + 0.7n2 = 0.0 -0.15 + m2 + 0.25n + 0.7n2 = 0.0 The solution to this equation could not be determined.
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