9x^2-3ax-2a^2=

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Solution for 9x^2-3ax-2a^2= equation: 


Simplifying
9x2 + -3ax + -2a2 = 0

Reorder the terms:
-3ax + -2a2 + 9x2 = 0

Solving
-3ax + -2a2 + 9x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1a + -3x)(2a + -3x) = 0


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

Simplifying
-1a + -3x = 0

Solving
-1a + -3x = 0

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

Add '3x' to each side of the equation.
-1a + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1a + 0 = 0 + 3x
-1a = 0 + 3x
Remove the zero:
-1a = 3x

Divide each side by '-1'.
a = -3x

Simplifying
a = -3x

Subproblem 2
Set the factor '(2a + -3x)' equal to zero and attempt to solve:

Simplifying
2a + -3x = 0

Solving
2a + -3x = 0

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

Add '3x' to each side of the equation.
2a + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
2a + 0 = 0 + 3x
2a = 0 + 3x
Remove the zero:
2a = 3x

Divide each side by '2'.
a = 1.5x

Simplifying
a = 1.5x
Solution
a = {-3x, 1.5x}

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