5r^2-27r+26=-2

Solution for 5r^2-27r+26=-2 equation:

Simplifying
5r2 + -27r + 26 = -2

Reorder the terms:
26 + -27r + 5r2 = -2

Solving
26 + -27r + 5r2 = -2

Solving for variable 'r'.

Reorder the terms:
26 + 2 + -27r + 5r2 = -2 + 2

Combine like terms: 26 + 2 = 28
28 + -27r + 5r2 = -2 + 2

Combine like terms: -2 + 2 = 0
28 + -27r + 5r2 = 0

Factor a trinomial.
(7 + -5r)(4 + -1r) = 0

Subproblem 1
Set the factor '(7 + -5r)' equal to zero and attempt to solve:

Simplifying
7 + -5r = 0

Solving
7 + -5r = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5r = 0 + -7
-5r = 0 + -7

Combine like terms: 0 + -7 = -7
-5r = -7

Divide each side by '-5'.
r = 1.4

Simplifying
r = 1.4
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 = {1.4, 4}