5(r+2)7r=

Solution for 5(r+2)7r= equation:

Simplifying
5(r + 2) * 7r = 0

Reorder the terms:
5(2 + r) * 7r = 0

Reorder the terms for easier multiplication:
5 * 7r(2 + r) = 0

Multiply 5 * 7
35r(2 + r) = 0
(2 * 35r + r * 35r) = 0
(70r + 35r2) = 0

Solving
70r + 35r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '35r'.
35r(2 + r) = 0

Ignore the factor 35.
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 '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

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

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {0, -2}