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Simplifying -2n2(5m + -9 + 4n2) = 0 Reorder the terms: -2n2(-9 + 5m + 4n2) = 0 (-9 * -2n2 + 5m * -2n2 + 4n2 * -2n2) = 0 Reorder the terms: (-10mn2 + 18n2 + -8n4) = 0 (-10mn2 + 18n2 + -8n4) = 0 Solving -10mn2 + 18n2 + -8n4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18n2' to each side of the equation. -10mn2 + 18n2 + -18n2 + -8n4 = 0 + -18n2 Combine like terms: 18n2 + -18n2 = 0 -10mn2 + 0 + -8n4 = 0 + -18n2 -10mn2 + -8n4 = 0 + -18n2 Remove the zero: -10mn2 + -8n4 = -18n2 Add '8n4' to each side of the equation. -10mn2 + -8n4 + 8n4 = -18n2 + 8n4 Combine like terms: -8n4 + 8n4 = 0 -10mn2 + 0 = -18n2 + 8n4 -10mn2 = -18n2 + 8n4 Divide each side by '-10n2'. m = 1.8 + -0.8n2 Simplifying m = 1.8 + -0.8n2
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