(2x-3a)(-2x+3a)=

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Solution for (2x-3a)(-2x+3a)= equation: 


Simplifying
(2x + -3a)(-2x + 3a) = 0

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

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

Multiply (-3a + 2x) * (3a + -2x)
(-3a * (3a + -2x) + 2x * (3a + -2x)) = 0
((3a * -3a + -2x * -3a) + 2x * (3a + -2x)) = 0

Reorder the terms:
((6ax + -9a2) + 2x * (3a + -2x)) = 0
((6ax + -9a2) + 2x * (3a + -2x)) = 0
(6ax + -9a2 + (3a * 2x + -2x * 2x)) = 0
(6ax + -9a2 + (6ax + -4x2)) = 0

Reorder the terms:
(6ax + 6ax + -9a2 + -4x2) = 0

Combine like terms: 6ax + 6ax = 12ax
(12ax + -9a2 + -4x2) = 0

Solving
12ax + -9a2 + -4x2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(-3a + 2x)' equal to zero and attempt to solve:

Simplifying
-3a + 2x = 0

Solving
-3a + 2x = 0

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

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

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

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

Simplifying
a = 0.6666666667x

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

Simplifying
3a + -2x = 0

Solving
3a + -2x = 0

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

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

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

Divide each side by '3'.
a = 0.6666666667x

Simplifying
a = 0.6666666667x
Solution
a = {0.6666666667x, 0.6666666667x}

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