-7n(5n-8)=0

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Solution for -7n(5n-8)=0 equation: 


Simplifying
-7n(5n + -8) = 0

Reorder the terms:
-7n(-8 + 5n) = 0
(-8 * -7n + 5n * -7n) = 0
(56n + -35n2) = 0

Solving
56n + -35n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7n'.
7n(8 + -5n) = 0

Ignore the factor 7.

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 '(8 + -5n)' equal to zero and attempt to solve:

Simplifying
8 + -5n = 0

Solving
8 + -5n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 0 + -8
-5n = 0 + -8

Combine like terms: 0 + -8 = -8
-5n = -8

Divide each side by '-5'.
n = 1.6

Simplifying
n = 1.6
Solution
n = {0, 1.6}

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