54n=7n^2

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Solution for 54n=7n^2 equation:


Simplifying
54n = 7n2

Solving
54n = 7n2

Solving for variable 'n'.

Combine like terms: 7n2 + -7n2 = 0
54n + -7n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(54 + -7n) = 0

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 = 0

Subproblem 2

Set the factor '(54 + -7n)' equal to zero and attempt to solve: Simplifying 54 + -7n = 0 Solving 54 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -7n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -7n = 0 + -54 -7n = 0 + -54 Combine like terms: 0 + -54 = -54 -7n = -54 Divide each side by '-7'. n = 7.714285714 Simplifying n = 7.714285714

Solution

n = {0, 7.714285714}

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