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Simplifying 25n3 = 9n Solving 25n3 = 9n Solving for variable 'n'. Reorder the terms: -9n + 25n3 = 9n + -9n Combine like terms: 9n + -9n = 0 -9n + 25n3 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-9 + 25n2) = 0 Factor a difference between two squares. n((3 + 5n)(-3 + 5n)) = 0Subproblem 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 '(3 + 5n)' equal to zero and attempt to solve: Simplifying 3 + 5n = 0 Solving 3 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 0 + -3 5n = 0 + -3 Combine like terms: 0 + -3 = -3 5n = -3 Divide each side by '5'. n = -0.6 Simplifying n = -0.6Subproblem 3
Set the factor '(-3 + 5n)' equal to zero and attempt to solve: Simplifying -3 + 5n = 0 Solving -3 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 0 + 3 5n = 0 + 3 Combine like terms: 0 + 3 = 3 5n = 3 Divide each side by '5'. n = 0.6 Simplifying n = 0.6Solution
n = {0, -0.6, 0.6}
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