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

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


Simplifying
(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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