(3a^2+2b^2)-(4a^2-5b^2)=

Solution for (3a^2+2b^2)-(4a^2-5b^2)= equation:

Simplifying
(3a2 + 2b2) + -1(4a2 + -5b2) = 0

Remove parenthesis around (3a2 + 2b2)
3a2 + 2b2 + -1(4a2 + -5b2) = 0
3a2 + 2b2 + (4a2 * -1 + -5b2 * -1) = 0
3a2 + 2b2 + (-4a2 + 5b2) = 0

Reorder the terms:
3a2 + -4a2 + 2b2 + 5b2 = 0

Combine like terms: 3a2 + -4a2 = -1a2
-1a2 + 2b2 + 5b2 = 0

Combine like terms: 2b2 + 5b2 = 7b2
-1a2 + 7b2 = 0

Solving
-1a2 + 7b2 = 0

Solving for variable 'a'.

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

Add '-7b2' to each side of the equation.
-1a2 + 7b2 + -7b2 = 0 + -7b2

Combine like terms: 7b2 + -7b2 = 0
-1a2 + 0 = 0 + -7b2
-1a2 = 0 + -7b2
Remove the zero:
-1a2 = -7b2

Divide each side by '-1'.
a2 = 7b2

Simplifying
a2 = 7b2

Take the square root of each side:
a = {-2.645751311b, 2.645751311b}