(2x-3as^2)(2x-as^2)=

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Solution for (2x-3as^2)(2x-as^2)= equation: 


Simplifying
(2x + -3as2)(2x + -1as2) = 0

Reorder the terms:
(-3as2 + 2x)(2x + -1as2) = 0

Reorder the terms:
(-3as2 + 2x)(-1as2 + 2x) = 0

Multiply (-3as2 + 2x) * (-1as2 + 2x)
(-3as2 * (-1as2 + 2x) + 2x * (-1as2 + 2x)) = 0
((-1as2 * -3as2 + 2x * -3as2) + 2x * (-1as2 + 2x)) = 0

Reorder the terms:
((-6as2x + 3a2s4) + 2x * (-1as2 + 2x)) = 0
((-6as2x + 3a2s4) + 2x * (-1as2 + 2x)) = 0
(-6as2x + 3a2s4 + (-1as2 * 2x + 2x * 2x)) = 0
(-6as2x + 3a2s4 + (-2as2x + 4x2)) = 0

Reorder the terms:
(-6as2x + -2as2x + 3a2s4 + 4x2) = 0

Combine like terms: -6as2x + -2as2x = -8as2x
(-8as2x + 3a2s4 + 4x2) = 0

Solving
-8as2x + 3a2s4 + 4x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(as2 + -2x)(3as2 + -2x) = 0


Subproblem 1
Set the factor '(as2 + -2x)' equal to zero and attempt to solve:

Simplifying
as2 + -2x = 0

Solving
as2 + -2x = 0

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

Add '2x' to each side of the equation.
as2 + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
as2 + 0 = 0 + 2x
as2 = 0 + 2x
Remove the zero:
as2 = 2x

Divide each side by 's2'.
a = 2s-2x

Simplifying
a = 2s-2x

Subproblem 2
Set the factor '(3as2 + -2x)' equal to zero and attempt to solve:

Simplifying
3as2 + -2x = 0

Solving
3as2 + -2x = 0

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

Add '2x' to each side of the equation.
3as2 + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
3as2 + 0 = 0 + 2x
3as2 = 0 + 2x
Remove the zero:
3as2 = 2x

Divide each side by '3s2'.
a = 0.6666666667s-2x

Simplifying
a = 0.6666666667s-2x
Solution
a = {2s-2x, 0.6666666667s-2x}

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