-1=r-6r^2

Solution for -1=r-6r^2 equation:

Simplifying
-1 = r + -6r2

Solving
-1 = r + -6r2

Solving for variable 'r'.

Reorder the terms:
-1 + -1r + 6r2 = r + -1r + -6r2 + 6r2

Combine like terms: r + -1r = 0
-1 + -1r + 6r2 = 0 + -6r2 + 6r2
-1 + -1r + 6r2 = -6r2 + 6r2

Combine like terms: -6r2 + 6r2 = 0
-1 + -1r + 6r2 = 0

Factor a trinomial.
(-1 + -3r)(1 + -2r) = 0

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

Simplifying
-1 + -3r = 0

Solving
-1 + -3r = 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 + -3r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3r = 0 + 1
-3r = 0 + 1

Combine like terms: 0 + 1 = 1
-3r = 1

Divide each side by '-3'.
r = -0.3333333333

Simplifying
r = -0.3333333333
Subproblem 2
Set the factor '(1 + -2r)' equal to zero and attempt to solve:

Simplifying
1 + -2r = 0

Solving
1 + -2r = 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 + -2r = 0 + -1

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

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

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5
Solution
r = {-0.3333333333, 0.5}