7r^2+10-72=0

Solution for 7r^2+10-72=0 equation:

Simplifying
7r2 + 10 + -72 = 0

Reorder the terms:
10 + -72 + 7r2 = 0

Combine like terms: 10 + -72 = -62
-62 + 7r2 = 0

Solving
-62 + 7r2 = 0

Solving for variable 'r'.

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

Add '62' to each side of the equation.
-62 + 62 + 7r2 = 0 + 62

Combine like terms: -62 + 62 = 0
0 + 7r2 = 0 + 62
7r2 = 0 + 62

Combine like terms: 0 + 62 = 62
7r2 = 62

Divide each side by '7'.
r2 = 8.857142857

Simplifying
r2 = 8.857142857

Take the square root of each side:
r = {-2.976095237, 2.976095237}