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Simplifying 36n3 = 49n Solving 36n3 = 49n Solving for variable 'n'. Reorder the terms: -49n + 36n3 = 49n + -49n Combine like terms: 49n + -49n = 0 -49n + 36n3 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-49 + 36n2) = 0 Factor a difference between two squares. n((7 + 6n)(-7 + 6n)) = 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 '(7 + 6n)' equal to zero and attempt to solve: Simplifying 7 + 6n = 0 Solving 7 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 0 + -7 6n = 0 + -7 Combine like terms: 0 + -7 = -7 6n = -7 Divide each side by '6'. n = -1.166666667 Simplifying n = -1.166666667Subproblem 3
Set the factor '(-7 + 6n)' equal to zero and attempt to solve: Simplifying -7 + 6n = 0 Solving -7 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6n = 0 + 7 6n = 0 + 7 Combine like terms: 0 + 7 = 7 6n = 7 Divide each side by '6'. n = 1.166666667 Simplifying n = 1.166666667Solution
n = {0, -1.166666667, 1.166666667}
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