n(5n+7)=

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Solution for n(5n+7)= equation: 


Simplifying
n(5n + 7) = 0

Reorder the terms:
n(7 + 5n) = 0
(7 * n + 5n * n) = 0
(7n + 5n2) = 0

Solving
7n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(7 + 5n) = 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 '(7 + 5n)' equal to zero and attempt to solve:

Simplifying
7 + 5n = 0

Solving
7 + 5n = 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 + 5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 0 + -7
5n = 0 + -7

Combine like terms: 0 + -7 = -7
5n = -7

Divide each side by '5'.
n = -1.4

Simplifying
n = -1.4
Solution
n = {0, -1.4}

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