15w^2+4w=4

Solution for 15w^2+4w=4 equation:

Simplifying
15w2 + 4w = 4

Reorder the terms:
4w + 15w2 = 4

Solving
4w + 15w2 = 4

Solving for variable 'w'.

Reorder the terms:
-4 + 4w + 15w2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 4w + 15w2 = 0

Factor a trinomial.
(-2 + -3w)(2 + -5w) = 0

Subproblem 1
Set the factor '(-2 + -3w)' equal to zero and attempt to solve:

Simplifying
-2 + -3w = 0

Solving
-2 + -3w = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3w = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3w = 0 + 2
-3w = 0 + 2

Combine like terms: 0 + 2 = 2
-3w = 2

Divide each side by '-3'.
w = -0.6666666667

Simplifying
w = -0.6666666667
Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Solution
w = {-0.6666666667, 0.4}