30w^2+34w-8=

Solution for 30w^2+34w-8= equation:

Simplifying
30w2 + 34w + -8 = 0

Reorder the terms:
-8 + 34w + 30w2 = 0

Solving
-8 + 34w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 17w + 15w2) = 0

Factor a trinomial.
2((-4 + -3w)(1 + -5w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -3w)' equal to zero and attempt to solve:

Simplifying
-4 + -3w = 0

Solving
-4 + -3w = 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 + -3w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 0 + 4
-3w = 0 + 4

Combine like terms: 0 + 4 = 4
-3w = 4

Divide each side by '-3'.
w = -1.333333333

Simplifying
w = -1.333333333
Subproblem 2
Set the factor '(1 + -5w)' equal to zero and attempt to solve:

Simplifying
1 + -5w = 0

Solving
1 + -5w = 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 + -5w = 0 + -1

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

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

Divide each side by '-5'.
w = 0.2

Simplifying
w = 0.2
Solution
w = {-1.333333333, 0.2}