72n^2-129n^2+50=0

Solution for 72n^2-129n^2+50=0 equation:

Simplifying
72n2 + -129n2 + 50 = 0

Reorder the terms:
50 + 72n2 + -129n2 = 0

Combine like terms: 72n2 + -129n2 = -57n2
50 + -57n2 = 0

Solving
50 + -57n2 = 0

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + -57n2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -57n2 = 0 + -50
-57n2 = 0 + -50

Combine like terms: 0 + -50 = -50
-57n2 = -50

Divide each side by '-57'.
n2 = 0.8771929825

Simplifying
n2 = 0.8771929825

Take the square root of each side:
n = {-0.936585812, 0.936585812}