(2a^2)(2a-3b)=0

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Solution for (2a^2)(2a-3b)=0 equation: 


Simplifying
(2a2)(2a + -3b) = 0

Remove parenthesis around (2a2)
2a2(2a + -3b) = 0
(2a * 2a2 + -3b * 2a2) = 0

Reorder the terms:
(-6a2b + 4a3) = 0
(-6a2b + 4a3) = 0

Solving
-6a2b + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-3b + 2a) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

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

Simplifying
-3b + 2a = 0

Reorder the terms:
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 = {0, 1.5b}

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