w^2+5wd-14d^2=

Solution for w^2+5wd-14d^2= equation:

Simplifying
w2 + 5wd + -14d2 = 0

Reorder the terms:
5dw + -14d2 + w2 = 0

Solving
5dw + -14d2 + w2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-7d + -1w)(2d + -1w) = 0

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

Simplifying
-7d + -1w = 0

Solving
-7d + -1w = 0

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

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

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

Divide each side by '-7'.
d = -0.1428571429w

Simplifying
d = -0.1428571429w
Subproblem 2
Set the factor '(2d + -1w)' equal to zero and attempt to solve:

Simplifying
2d + -1w = 0

Solving
2d + -1w = 0

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

Add 'w' to each side of the equation.
2d + -1w + w = 0 + w

Combine like terms: -1w + w = 0
2d + 0 = 0 + w
2d = 0 + w
Remove the zero:
2d = w

Divide each side by '2'.
d = 0.5w

Simplifying
d = 0.5w
Solution
d = {-0.1428571429w, 0.5w}