13w^2+12w-1=

Solution for 13w^2+12w-1= equation:

Simplifying
13w2 + 12w + -1 = 0

Reorder the terms:
-1 + 12w + 13w2 = 0

Solving
-1 + 12w + 13w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1 + -1w)(1 + -13w) = 0

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

Simplifying
-1 + -1w = 0

Solving
-1 + -1w = 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 + -1w = 0 + 1

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

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

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

Simplifying
w = -1
Subproblem 2
Set the factor '(1 + -13w)' equal to zero and attempt to solve:

Simplifying
1 + -13w = 0

Solving
1 + -13w = 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 + -13w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -13w = 0 + -1
-13w = 0 + -1

Combine like terms: 0 + -1 = -1
-13w = -1

Divide each side by '-13'.
w = 0.07692307692

Simplifying
w = 0.07692307692
Solution
w = {-1, 0.07692307692}