5r^2-43r+18=-6

Solution for 5r^2-43r+18=-6 equation:

Simplifying
5r2 + -43r + 18 = -6

Reorder the terms:
18 + -43r + 5r2 = -6

Solving
18 + -43r + 5r2 = -6

Solving for variable 'r'.

Reorder the terms:
18 + 6 + -43r + 5r2 = -6 + 6

Combine like terms: 18 + 6 = 24
24 + -43r + 5r2 = -6 + 6

Combine like terms: -6 + 6 = 0
24 + -43r + 5r2 = 0

Factor a trinomial.
(3 + -5r)(8 + -1r) = 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 '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {0.6, 8}