(2a-3b)*(3b-2a)=

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Solution for (2a-3b)*(3b-2a)= equation: 


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

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

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

Reorder the terms:
((6ab + -4a2) + -3b * (-2a + 3b)) = 0
((6ab + -4a2) + -3b * (-2a + 3b)) = 0
(6ab + -4a2 + (-2a * -3b + 3b * -3b)) = 0
(6ab + -4a2 + (6ab + -9b2)) = 0

Reorder the terms:
(6ab + 6ab + -4a2 + -9b2) = 0

Combine like terms: 6ab + 6ab = 12ab
(12ab + -4a2 + -9b2) = 0

Solving
12ab + -4a2 + -9b2 = 0

Solving for variable 'a'.

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


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

Simplifying
-2a + 3b = 0

Solving
-2a + 3b = 0

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

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

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

Divide each side by '-2'.
a = 1.5b

Simplifying
a = 1.5b

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

Simplifying
2a + -3b = 0

Solving
2a + -3b = 0

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

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

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

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

Simplifying
a = 1.5b
Solution
a = {1.5b, 1.5b}

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