7r^2-37+10=0

Solution for 7r^2-37+10=0 equation:

Simplifying
7r2 + -37 + 10 = 0

Reorder the terms:
-37 + 10 + 7r2 = 0

Combine like terms: -37 + 10 = -27
-27 + 7r2 = 0

Solving
-27 + 7r2 = 0

Solving for variable 'r'.

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

Add '27' to each side of the equation.
-27 + 27 + 7r2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 7r2 = 0 + 27
7r2 = 0 + 27

Combine like terms: 0 + 27 = 27
7r2 = 27

Divide each side by '7'.
r2 = 3.857142857

Simplifying
r2 = 3.857142857

Take the square root of each side:
r = {-1.963961012, 1.963961012}