4r^2+5r-26=

Solution for 4r^2+5r-26= equation:

Simplifying
4r2 + 5r + -26 = 0

Reorder the terms:
-26 + 5r + 4r2 = 0

Solving
-26 + 5r + 4r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-13 + -4r)(2 + -1r) = 0

Subproblem 1
Set the factor '(-13 + -4r)' equal to zero and attempt to solve:

Simplifying
-13 + -4r = 0

Solving
-13 + -4r = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4r = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4r = 0 + 13
-4r = 0 + 13

Combine like terms: 0 + 13 = 13
-4r = 13

Divide each side by '-4'.
r = -3.25

Simplifying
r = -3.25
Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve:

Simplifying
2 + -1r = 0

Solving
2 + -1r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
Solution
r = {-3.25, 2}