(2a^2-6a)(2a^2-6a)=

Solution for (2a^2-6a)(2a^2-6a)= equation:

Simplifying
(2a2 + -6a)(2a2 + -6a) = 0

Reorder the terms:
(-6a + 2a2)(2a2 + -6a) = 0

Reorder the terms:
(-6a + 2a2)(-6a + 2a2) = 0

Multiply (-6a + 2a2) * (-6a + 2a2)
(-6a * (-6a + 2a2) + 2a2 * (-6a + 2a2)) = 0
((-6a * -6a + 2a2 * -6a) + 2a2 * (-6a + 2a2)) = 0
((36a2 + -12a3) + 2a2 * (-6a + 2a2)) = 0
(36a2 + -12a3 + (-6a * 2a2 + 2a2 * 2a2)) = 0
(36a2 + -12a3 + (-12a3 + 4a4)) = 0

Combine like terms: -12a3 + -12a3 = -24a3
(36a2 + -24a3 + 4a4) = 0

Solving
36a2 + -24a3 + 4a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(9 + -6a + a2) = 0

Factor a trinomial.
4a2((3 + -1a)(3 + -1a)) = 0

Ignore the factor 4.
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 '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

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

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {0, 3, 3}