55r^2+4r-3=

Solution for 55r^2+4r-3= equation:

Simplifying
55r2 + 4r + -3 = 0

Reorder the terms:
-3 + 4r + 55r2 = 0

Solving
-3 + 4r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-3 + -11r)(1 + -5r) = 0

Subproblem 1
Set the factor '(-3 + -11r)' equal to zero and attempt to solve:

Simplifying
-3 + -11r = 0

Solving
-3 + -11r = 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 + -11r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -11r = 0 + 3
-11r = 0 + 3

Combine like terms: 0 + 3 = 3
-11r = 3

Divide each side by '-11'.
r = -0.2727272727

Simplifying
r = -0.2727272727
Subproblem 2
Set the factor '(1 + -5r)' equal to zero and attempt to solve:

Simplifying
1 + -5r = 0

Solving
1 + -5r = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5r = 0 + -1
-5r = 0 + -1

Combine like terms: 0 + -1 = -1
-5r = -1

Divide each side by '-5'.
r = 0.2

Simplifying
r = 0.2
Solution
r = {-0.2727272727, 0.2}