w^2-11wg+28g^2=

Solution for w^2-11wg+28g^2= equation:

Simplifying
w2 + -11wg + 28g2 = 0

Reorder the terms:
-11gw + 28g2 + w2 = 0

Solving
-11gw + 28g2 + w2 = 0

Solving for variable 'g'.

Factor a trinomial.
(4g + -1w)(7g + -1w) = 0

Subproblem 1
Set the factor '(4g + -1w)' equal to zero and attempt to solve:

Simplifying
4g + -1w = 0

Solving
4g + -1w = 0

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

Add 'w' to each side of the equation.
4g + -1w + w = 0 + w

Combine like terms: -1w + w = 0
4g + 0 = 0 + w
4g = 0 + w
Remove the zero:
4g = w

Divide each side by '4'.
g = 0.25w

Simplifying
g = 0.25w
Subproblem 2
Set the factor '(7g + -1w)' equal to zero and attempt to solve:

Simplifying
7g + -1w = 0

Solving
7g + -1w = 0

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

Add 'w' to each side of the equation.
7g + -1w + w = 0 + w

Combine like terms: -1w + w = 0
7g + 0 = 0 + w
7g = 0 + w
Remove the zero:
7g = w

Divide each side by '7'.
g = 0.1428571429w

Simplifying
g = 0.1428571429w
Solution
g = {0.25w, 0.1428571429w}