-4n(5n-7)=0

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Solution for -4n(5n-7)=0 equation: 


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

Reorder the terms:
-4n(-7 + 5n) = 0
(-7 * -4n + 5n * -4n) = 0
(28n + -20n2) = 0

Solving
28n + -20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(7 + -5n) = 0

Ignore the factor 4.

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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