6w^2-5w=-1

Solution for 6w^2-5w=-1 equation:

Simplifying
6w2 + -5w = -1

Reorder the terms:
-5w + 6w2 = -1

Solving
-5w + 6w2 = -1

Solving for variable 'w'.

Reorder the terms:
1 + -5w + 6w2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -5w + 6w2 = 0

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

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

Simplifying
1 + -3w = 0

Solving
1 + -3w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3w = 0 + -1

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

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

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

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

Simplifying
1 + -2w = 0

Solving
1 + -2w = 0

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

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

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

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

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

Simplifying
w = 0.5
Solution
w = {0.3333333333, 0.5}