5r^2-29+20=0

Solution for 5r^2-29+20=0 equation:

Simplifying
5r2 + -29 + 20 = 0

Reorder the terms:
-29 + 20 + 5r2 = 0

Combine like terms: -29 + 20 = -9
-9 + 5r2 = 0

Solving
-9 + 5r2 = 0

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 5r2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5r2 = 0 + 9
5r2 = 0 + 9

Combine like terms: 0 + 9 = 9
5r2 = 9

Divide each side by '5'.
r2 = 1.8

Simplifying
r2 = 1.8

Take the square root of each side:
r = {-1.341640787, 1.341640787}