4r+5r+1=0

Solution for 4r+5r+1=0 equation:

Simplifying
4r + 5r + 1 = 0

Reorder the terms:
1 + 4r + 5r = 0

Combine like terms: 4r + 5r = 9r
1 + 9r = 0

Solving
1 + 9r = 0

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 9r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9r = 0 + -1
9r = 0 + -1

Combine like terms: 0 + -1 = -1
9r = -1

Divide each side by '9'.
r = -0.1111111111

Simplifying
r = -0.1111111111