15r^2+15=34r

Solution for 15r^2+15=34r equation:

Simplifying
15r2 + 15 = 34r

Reorder the terms:
15 + 15r2 = 34r

Solving
15 + 15r2 = 34r

Solving for variable 'r'.

Reorder the terms:
15 + -34r + 15r2 = 34r + -34r

Combine like terms: 34r + -34r = 0
15 + -34r + 15r2 = 0

Factor a trinomial.
(3 + -5r)(5 + -3r) = 0

Subproblem 1
Set the factor '(3 + -5r)' equal to zero and attempt to solve:

Simplifying
3 + -5r = 0

Solving
3 + -5r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5r = 0 + -3
-5r = 0 + -3

Combine like terms: 0 + -3 = -3
-5r = -3

Divide each side by '-5'.
r = 0.6

Simplifying
r = 0.6
Subproblem 2
Set the factor '(5 + -3r)' equal to zero and attempt to solve:

Simplifying
5 + -3r = 0

Solving
5 + -3r = 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 + -3r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3r = 0 + -5
-3r = 0 + -5

Combine like terms: 0 + -5 = -5
-3r = -5

Divide each side by '-3'.
r = 1.666666667

Simplifying
r = 1.666666667
Solution
r = {0.6, 1.666666667}