-6w^2+23w+4=0

Solution for -6w^2+23w+4=0 equation:

Simplifying
-6w2 + 23w + 4 = 0

Reorder the terms:
4 + 23w + -6w2 = 0

Solving
4 + 23w + -6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + -1w)(1 + 6w) = 0

Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Subproblem 2
Set the factor '(1 + 6w)' equal to zero and attempt to solve:

Simplifying
1 + 6w = 0

Solving
1 + 6w = 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 + 6w = 0 + -1

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

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

Divide each side by '6'.
w = -0.1666666667

Simplifying
w = -0.1666666667
Solution
w = {4, -0.1666666667}