=2v^2-20-78

Solution for =2v^2-20-78 equation:

Simplifying
0 = 2v2 + -20 + -78

Reorder the terms:
0 = -20 + -78 + 2v2

Combine like terms: -20 + -78 = -98
0 = -98 + 2v2

Solving
0 = -98 + 2v2

Solving for variable 'v'.

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

Add '-2v2' to each side of the equation.
0 + -2v2 = -98 + 2v2 + -2v2
Remove the zero:
-2v2 = -98 + 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-2v2 = -98 + 0
-2v2 = -98

Divide each side by '-2'.
v2 = 49

Simplifying
v2 = 49

Take the square root of each side:
v = {-7, 7}