t^2+5tg-14g^2=

Solution for t^2+5tg-14g^2= equation:

Simplifying
t2 + 5tg + -14g2 = 0

Reorder the terms:
5gt + -14g2 + t2 = 0

Solving
5gt + -14g2 + t2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-7g + -1t)(2g + -1t) = 0

Subproblem 1
Set the factor '(-7g + -1t)' equal to zero and attempt to solve:

Simplifying
-7g + -1t = 0

Solving
-7g + -1t = 0

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

Add 't' to each side of the equation.
-7g + -1t + t = 0 + t

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

Divide each side by '-7'.
g = -0.1428571429t

Simplifying
g = -0.1428571429t
Subproblem 2
Set the factor '(2g + -1t)' equal to zero and attempt to solve:

Simplifying
2g + -1t = 0

Solving
2g + -1t = 0

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

Add 't' to each side of the equation.
2g + -1t + t = 0 + t

Combine like terms: -1t + t = 0
2g + 0 = 0 + t
2g = 0 + t
Remove the zero:
2g = t

Divide each side by '2'.
g = 0.5t

Simplifying
g = 0.5t
Solution
g = {-0.1428571429t, 0.5t}