1-5n^2=-78

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Solution for 1-5n^2=-78 equation: 


Simplifying
1 + -5n2 = -78

Solving
1 + -5n2 = -78

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + -5n2 = -78 + -1

Combine like terms: 1 + -1 = 0
0 + -5n2 = -78 + -1
-5n2 = -78 + -1

Combine like terms: -78 + -1 = -79
-5n2 = -79

Divide each side by '-5'.
n2 = 15.8

Simplifying
n2 = 15.8

Take the square root of each side:
n = {-3.974921383, 3.974921383}

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