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Simplifying 25n3 + 5n2 + -30n = 0 Reorder the terms: -30n + 5n2 + 25n3 = 0 Solving -30n + 5n2 + 25n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(-6 + n + 5n2) = 0 Factor a trinomial. 5n((-6 + -5n)(1 + -1n)) = 0 Ignore the factor 5.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 '(-6 + -5n)' equal to zero and attempt to solve: Simplifying -6 + -5n = 0 Solving -6 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = 0 + 6 -5n = 0 + 6 Combine like terms: 0 + 6 = 6 -5n = 6 Divide each side by '-5'. n = -1.2 Simplifying n = -1.2Subproblem 3
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {0, -1.2, 1}
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