7w^2-44w+12=

Solution for 7w^2-44w+12= equation:

Simplifying
7w2 + -44w + 12 = 0

Reorder the terms:
12 + -44w + 7w2 = 0

Solving
12 + -44w + 7w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -7w)(6 + -1w) = 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 '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

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

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

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {0.2857142857, 6}