18a^2-15ab-3b^2=

Solution for 18a^2-15ab-3b^2= equation:

Simplifying
18a2 + -15ab + -3b2 = 0

Reorder the terms:
-15ab + 18a2 + -3b2 = 0

Solving
-15ab + 18a2 + -3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5ab + 6a2 + -1b2) = 0

Factor a trinomial.
3((a + -1b)(6a + b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

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

Simplifying
6a + b = 0

Solving
6a + b = 0

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

Add '-1b' to each side of the equation.
6a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
6a + 0 = 0 + -1b
6a = 0 + -1b
Remove the zero:
6a = -1b

Divide each side by '6'.
a = -0.1666666667b

Simplifying
a = -0.1666666667b
Solution
a = {b, -0.1666666667b}