2n^2+11n=7n

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Solution for 2n^2+11n=7n equation:


Simplifying
2n2 + 11n = 7n

Reorder the terms:
11n + 2n2 = 7n

Solving
11n + 2n2 = 7n

Solving for variable 'n'.

Reorder the terms:
11n + -7n + 2n2 = 7n + -7n

Combine like terms: 11n + -7n = 4n
4n + 2n2 = 7n + -7n

Combine like terms: 7n + -7n = 0
4n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(2 + n) = 0

Ignore the factor 2.

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 '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2

Solution

n = {0, -2}

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