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Simplifying 21n2 + 15nw + 12n = 0 Reorder the terms: 12n + 15nw + 21n2 = 0 Solving 12n + 15nw + 21n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(4 + 5w + 7n) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(4 + 5w + 7n)' equal to zero and attempt to solve: Simplifying 4 + 5w + 7n = 0 Reorder the terms: 4 + 7n + 5w = 0 Solving 4 + 7n + 5w = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7n + -4 + 5w = 0 + -4 Reorder the terms: 4 + -4 + 7n + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7n + 5w = 0 + -4 7n + 5w = 0 + -4 Combine like terms: 0 + -4 = -4 7n + 5w = -4 Add '-5w' to each side of the equation. 7n + 5w + -5w = -4 + -5w Combine like terms: 5w + -5w = 0 7n + 0 = -4 + -5w 7n = -4 + -5w Divide each side by '7'. n = -0.5714285714 + -0.7142857143w Simplifying n = -0.5714285714 + -0.7142857143wSolution
n = {0, -0.5714285714 + -0.7142857143w}
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