0.03r^2+r=0

Solution for 0.03r^2+r=0 equation:

Simplifying
0.03r2 + r = 0

Reorder the terms:
r + 0.03r2 = 0

Solving
r + 0.03r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(1 + 0.03r) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(1 + 0.03r)' equal to zero and attempt to solve:

Simplifying
1 + 0.03r = 0

Solving
1 + 0.03r = 0

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

Add '-1' to each side of the equation.
1 + -1 + 0.03r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.03r = 0 + -1
0.03r = 0 + -1

Combine like terms: 0 + -1 = -1
0.03r = -1

Divide each side by '0.03'.
r = -33.33333333

Simplifying
r = -33.33333333
Solution
r = {0, -33.33333333}