2n^2-30n^2+100n=0

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Solution for 2n^2-30n^2+100n=0 equation: 


Simplifying
2n2 + -30n2 + 100n = 0

Reorder the terms:
100n + 2n2 + -30n2 = 0

Combine like terms: 2n2 + -30n2 = -28n2
100n + -28n2 = 0

Solving
100n + -28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(25 + -7n) = 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 '(25 + -7n)' equal to zero and attempt to solve:

Simplifying
25 + -7n = 0

Solving
25 + -7n = 0

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

Add '-25' to each side of the equation.
25 + -25 + -7n = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -7n = 0 + -25
-7n = 0 + -25

Combine like terms: 0 + -25 = -25
-7n = -25

Divide each side by '-7'.
n = 3.571428571

Simplifying
n = 3.571428571
Solution
n = {0, 3.571428571}

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