4r^2+30=29r

Solution for 4r^2+30=29r equation:

Simplifying
4r2 + 30 = 29r

Reorder the terms:
30 + 4r2 = 29r

Solving
30 + 4r2 = 29r

Solving for variable 'r'.

Reorder the terms:
30 + -29r + 4r2 = 29r + -29r

Combine like terms: 29r + -29r = 0
30 + -29r + 4r2 = 0

Factor a trinomial.
(5 + -4r)(6 + -1r) = 0

Subproblem 1
Set the factor '(5 + -4r)' equal to zero and attempt to solve:

Simplifying
5 + -4r = 0

Solving
5 + -4r = 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 + -4r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4r = 0 + -5
-4r = 0 + -5

Combine like terms: 0 + -5 = -5
-4r = -5

Divide each side by '-4'.
r = 1.25

Simplifying
r = 1.25
Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {1.25, 6}