-5n(7n-4)+4n=

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Solution for -5n(7n-4)+4n= equation: 


Simplifying
-5n(7n + -4) + 4n = 0

Reorder the terms:
-5n(-4 + 7n) + 4n = 0
(-4 * -5n + 7n * -5n) + 4n = 0
(20n + -35n2) + 4n = 0

Reorder the terms:
20n + 4n + -35n2 = 0

Combine like terms: 20n + 4n = 24n
24n + -35n2 = 0

Solving
24n + -35n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(24 + -35n) = 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 '(24 + -35n)' equal to zero and attempt to solve:

Simplifying
24 + -35n = 0

Solving
24 + -35n = 0

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

Add '-24' to each side of the equation.
24 + -24 + -35n = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -35n = 0 + -24
-35n = 0 + -24

Combine like terms: 0 + -24 = -24
-35n = -24

Divide each side by '-35'.
n = 0.6857142857

Simplifying
n = 0.6857142857
Solution
n = {0, 0.6857142857}

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