10n^2=13n^3

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Solution for 10n^2=13n^3 equation:


Simplifying
10n2 = 13n3

Solving
10n2 = 13n3

Solving for variable 'n'.

Combine like terms: 13n3 + -13n3 = 0
10n2 + -13n3 = 0

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(10 + -13n) = 0

Subproblem 1

Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}

Subproblem 2

Set the factor '(10 + -13n)' equal to zero and attempt to solve: Simplifying 10 + -13n = 0 Solving 10 + -13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13n = 0 + -10 -13n = 0 + -10 Combine like terms: 0 + -10 = -10 -13n = -10 Divide each side by '-13'. n = 0.7692307692 Simplifying n = 0.7692307692

Solution

n = {0, 0.7692307692}

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