20a^2+11ab-3b^2=

Solution for 20a^2+11ab-3b^2= equation:

Simplifying
20a2 + 11ab + -3b2 = 0

Reorder the terms:
11ab + 20a2 + -3b2 = 0

Solving
11ab + 20a2 + -3b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + -1b)(4a + 3b) = 0

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

Simplifying
5a + -1b = 0

Solving
5a + -1b = 0

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

Add 'b' to each side of the equation.
5a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
5a + 0 = 0 + b
5a = 0 + b
Remove the zero:
5a = b

Divide each side by '5'.
a = 0.2b

Simplifying
a = 0.2b
Subproblem 2
Set the factor '(4a + 3b)' equal to zero and attempt to solve:

Simplifying
4a + 3b = 0

Solving
4a + 3b = 0

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

Add '-3b' to each side of the equation.
4a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
4a + 0 = 0 + -3b
4a = 0 + -3b
Remove the zero:
4a = -3b

Divide each side by '4'.
a = -0.75b

Simplifying
a = -0.75b
Solution
a = {0.2b, -0.75b}