5r(r-7)=0

Solution for 5r(r-7)=0 equation:

Simplifying
5r(r + -7) = 0

Reorder the terms:
5r(-7 + r) = 0
(-7 * 5r + r * 5r) = 0
(-35r + 5r2) = 0

Solving
-35r + 5r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-7 + r) = 0

Ignore the factor 5.
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 '(-7 + r)' equal to zero and attempt to solve:

Simplifying
-7 + r = 0

Solving
-7 + r = 0

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

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

Combine like terms: -7 + 7 = 0
0 + r = 0 + 7
r = 0 + 7

Combine like terms: 0 + 7 = 7
r = 7

Simplifying
r = 7
Solution
r = {0, 7}