-7w^2-12w+4=

Solution for -7w^2-12w+4= equation:

Simplifying
-7w2 + -12w + 4 = 0

Reorder the terms:
4 + -12w + -7w2 = 0

Solving
4 + -12w + -7w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -7w)(2 + w) = 0

Subproblem 1
Set the factor '(2 + -7w)' equal to zero and attempt to solve:

Simplifying
2 + -7w = 0

Solving
2 + -7w = 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 + -7w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7w = 0 + -2
-7w = 0 + -2

Combine like terms: 0 + -2 = -2
-7w = -2

Divide each side by '-7'.
w = 0.2857142857

Simplifying
w = 0.2857142857
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 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 + w = 0 + -2

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

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

Simplifying
w = -2
Solution
w = {0.2857142857, -2}