15w^2+44w-3=0

Solution for 15w^2+44w-3=0 equation:

Simplifying
15w2 + 44w + -3 = 0

Reorder the terms:
-3 + 44w + 15w2 = 0

Solving
-3 + 44w + 15w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -1w)(1 + -15w) = 0

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

Simplifying
-3 + -1w = 0

Solving
-3 + -1w = 0

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

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

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

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

Divide each side by '-1'.
w = -3

Simplifying
w = -3
Subproblem 2
Set the factor '(1 + -15w)' equal to zero and attempt to solve:

Simplifying
1 + -15w = 0

Solving
1 + -15w = 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 + -15w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -15w = 0 + -1
-15w = 0 + -1

Combine like terms: 0 + -1 = -1
-15w = -1

Divide each side by '-15'.
w = 0.06666666667

Simplifying
w = 0.06666666667
Solution
w = {-3, 0.06666666667}