a^2+5ah-14h^2=0

Solution for a^2+5ah-14h^2=0 equation:

Simplifying
a2 + 5ah + -14h2 = 0

Reorder the terms:
5ah + a2 + -14h2 = 0

Solving
5ah + a2 + -14h2 = 0

Solving for variable 'a'.

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

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

Simplifying
a + -2h = 0

Solving
a + -2h = 0

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

Add '2h' to each side of the equation.
a + -2h + 2h = 0 + 2h

Combine like terms: -2h + 2h = 0
a + 0 = 0 + 2h
a = 0 + 2h
Remove the zero:
a = 2h

Simplifying
a = 2h
Subproblem 2
Set the factor '(a + 7h)' equal to zero and attempt to solve:

Simplifying
a + 7h = 0

Solving
a + 7h = 0

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

Add '-7h' to each side of the equation.
a + 7h + -7h = 0 + -7h

Combine like terms: 7h + -7h = 0
a + 0 = 0 + -7h
a = 0 + -7h
Remove the zero:
a = -7h

Simplifying
a = -7h
Solution
a = {2h, -7h}