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Simplifying 4m2 = (n + 4)(2 + -1n) Reorder the terms: 4m2 = (4 + n)(2 + -1n) Multiply (4 + n) * (2 + -1n) 4m2 = (4(2 + -1n) + n(2 + -1n)) 4m2 = ((2 * 4 + -1n * 4) + n(2 + -1n)) 4m2 = ((8 + -4n) + n(2 + -1n)) 4m2 = (8 + -4n + (2 * n + -1n * n)) 4m2 = (8 + -4n + (2n + -1n2)) Combine like terms: -4n + 2n = -2n 4m2 = (8 + -2n + -1n2) Solving 4m2 = 8 + -2n + -1n2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '4'. m2 = 2 + -0.5n + -0.25n2 Simplifying m2 = 2 + -0.5n + -0.25n2 Reorder the terms: -2 + m2 + 0.5n + 0.25n2 = 2 + -0.5n + -0.25n2 + -2 + 0.5n + 0.25n2 Reorder the terms: -2 + m2 + 0.5n + 0.25n2 = 2 + -2 + -0.5n + 0.5n + -0.25n2 + 0.25n2 Combine like terms: 2 + -2 = 0 -2 + m2 + 0.5n + 0.25n2 = 0 + -0.5n + 0.5n + -0.25n2 + 0.25n2 -2 + m2 + 0.5n + 0.25n2 = -0.5n + 0.5n + -0.25n2 + 0.25n2 Combine like terms: -0.5n + 0.5n = 0.0 -2 + m2 + 0.5n + 0.25n2 = 0.0 + -0.25n2 + 0.25n2 -2 + m2 + 0.5n + 0.25n2 = -0.25n2 + 0.25n2 Combine like terms: -0.25n2 + 0.25n2 = 0.00 -2 + m2 + 0.5n + 0.25n2 = 0.00 The solution to this equation could not be determined.
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