r^2-15r=-8r-10

Solution for r^2-15r=-8r-10 equation:

Simplifying
r2 + -15r = -8r + -10

Reorder the terms:
-15r + r2 = -8r + -10

Reorder the terms:
-15r + r2 = -10 + -8r

Solving
-15r + r2 = -10 + -8r

Solving for variable 'r'.

Reorder the terms:
10 + -15r + 8r + r2 = -10 + -8r + 10 + 8r

Combine like terms: -15r + 8r = -7r
10 + -7r + r2 = -10 + -8r + 10 + 8r

Reorder the terms:
10 + -7r + r2 = -10 + 10 + -8r + 8r

Combine like terms: -10 + 10 = 0
10 + -7r + r2 = 0 + -8r + 8r
10 + -7r + r2 = -8r + 8r

Combine like terms: -8r + 8r = 0
10 + -7r + r2 = 0

Factor a trinomial.
(2 + -1r)(5 + -1r) = 0

Subproblem 1
Set the factor '(2 + -1r)' equal to zero and attempt to solve:

Simplifying
2 + -1r = 0

Solving
2 + -1r = 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 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve:

Simplifying
5 + -1r = 0

Solving
5 + -1r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 0 + -5
-1r = 0 + -5

Combine like terms: 0 + -5 = -5
-1r = -5

Divide each side by '-1'.
r = 5

Simplifying
r = 5
Solution
r = {2, 5}