n*-10n+22=-2

Solution for n*-10n+22=-2 equation:

Simplifying
n * -10n + 22 = -2

Reorder the terms for easier multiplication:
-10n * n + 22 = -2

Multiply n * n
-10n2 + 22 = -2

Reorder the terms:
22 + -10n2 = -2

Solving
22 + -10n2 = -2

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -10n2 = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -10n2 = -2 + -22
-10n2 = -2 + -22

Combine like terms: -2 + -22 = -24
-10n2 = -24

Divide each side by '-10'.
n2 = 2.4

Simplifying
n2 = 2.4

Take the square root of each side:
n = {-1.549193338, 1.549193338}