7v^2-59+24=0

Solution for 7v^2-59+24=0 equation:

Simplifying
7v2 + -59 + 24 = 0

Reorder the terms:
-59 + 24 + 7v2 = 0

Combine like terms: -59 + 24 = -35
-35 + 7v2 = 0

Solving
-35 + 7v2 = 0

Solving for variable 'v'.

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

Add '35' to each side of the equation.
-35 + 35 + 7v2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 7v2 = 0 + 35
7v2 = 0 + 35

Combine like terms: 0 + 35 = 35
7v2 = 35

Divide each side by '7'.
v2 = 5

Simplifying
v2 = 5

Take the square root of each side:
v = {-2.236067978, 2.236067978}