30b^2+19ba-63a^2=

Solution for 30b^2+19ba-63a^2= equation:

Simplifying
30b2 + 19ba + -63a2 = 0

Reorder the terms:
19ab + -63a2 + 30b2 = 0

Solving
19ab + -63a2 + 30b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9a + -5b)(7a + -6b) = 0

Subproblem 1
Set the factor '(-9a + -5b)' equal to zero and attempt to solve:

Simplifying
-9a + -5b = 0

Solving
-9a + -5b = 0

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

Add '5b' to each side of the equation.
-9a + -5b + 5b = 0 + 5b

Combine like terms: -5b + 5b = 0
-9a + 0 = 0 + 5b
-9a = 0 + 5b
Remove the zero:
-9a = 5b

Divide each side by '-9'.
a = -0.5555555556b

Simplifying
a = -0.5555555556b
Subproblem 2
Set the factor '(7a + -6b)' equal to zero and attempt to solve:

Simplifying
7a + -6b = 0

Solving
7a + -6b = 0

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

Add '6b' to each side of the equation.
7a + -6b + 6b = 0 + 6b

Combine like terms: -6b + 6b = 0
7a + 0 = 0 + 6b
7a = 0 + 6b
Remove the zero:
7a = 6b

Divide each side by '7'.
a = 0.8571428571b

Simplifying
a = 0.8571428571b
Solution
a = {-0.5555555556b, 0.8571428571b}