a^2-ax-6x^2=0

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Solution for a^2-ax-6x^2=0 equation: 


Simplifying
a2 + -1ax + -6x2 = 0

Reorder the terms:
-1ax + a2 + -6x2 = 0

Solving
-1ax + a2 + -6x2 = 0

Solving for variable 'a'.

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


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

Simplifying
a + -3x = 0

Solving
a + -3x = 0

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

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

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

Simplifying
a = 3x

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

Simplifying
a + 2x = 0

Solving
a + 2x = 0

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

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

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

Simplifying
a = -2x
Solution
a = {3x, -2x}

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