18r^2+16r-2=0

Solution for 18r^2+16r-2=0 equation:

Simplifying
18r2 + 16r + -2 = 0

Reorder the terms:
-2 + 16r + 18r2 = 0

Solving
-2 + 16r + 18r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 8r + 9r2) = 0

Factor a trinomial.
2((-1 + -1r)(1 + -9r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -1r)' equal to zero and attempt to solve:

Simplifying
-1 + -1r = 0

Solving
-1 + -1r = 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 + -1r = 0 + 1

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

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

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

Simplifying
r = -1
Subproblem 2
Set the factor '(1 + -9r)' equal to zero and attempt to solve:

Simplifying
1 + -9r = 0

Solving
1 + -9r = 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 + -9r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9r = 0 + -1
-9r = 0 + -1

Combine like terms: 0 + -1 = -1
-9r = -1

Divide each side by '-9'.
r = 0.1111111111

Simplifying
r = 0.1111111111
Solution
r = {-1, 0.1111111111}