8r^2-35r+12=

Solution for 8r^2-35r+12= equation:

Simplifying
8r2 + -35r + 12 = 0

Reorder the terms:
12 + -35r + 8r2 = 0

Solving
12 + -35r + 8r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(3 + -8r)(4 + -1r) = 0

Subproblem 1
Set the factor '(3 + -8r)' equal to zero and attempt to solve:

Simplifying
3 + -8r = 0

Solving
3 + -8r = 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 + -8r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8r = 0 + -3
-8r = 0 + -3

Combine like terms: 0 + -3 = -3
-8r = -3

Divide each side by '-8'.
r = 0.375

Simplifying
r = 0.375
Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4
Solution
r = {0.375, 4}