4a(3a-4)(3a+4)=

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Solution for 4a(3a-4)(3a+4)= equation: 


Simplifying
4a(3a + -4)(3a + 4) = 0

Reorder the terms:
4a(-4 + 3a)(3a + 4) = 0

Reorder the terms:
4a(-4 + 3a)(4 + 3a) = 0

Multiply (-4 + 3a) * (4 + 3a)
4a(-4(4 + 3a) + 3a * (4 + 3a)) = 0
4a((4 * -4 + 3a * -4) + 3a * (4 + 3a)) = 0
4a((-16 + -12a) + 3a * (4 + 3a)) = 0
4a(-16 + -12a + (4 * 3a + 3a * 3a)) = 0
4a(-16 + -12a + (12a + 9a2)) = 0

Combine like terms: -12a + 12a = 0
4a(-16 + 0 + 9a2) = 0
4a(-16 + 9a2) = 0
(-16 * 4a + 9a2 * 4a) = 0
(-64a + 36a3) = 0

Solving
-64a + 36a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-16 + 9a2) = 0

Factor a difference between two squares.
4a((4 + 3a)(-4 + 3a)) = 0

Ignore the factor 4.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(4 + 3a)' equal to zero and attempt to solve:

Simplifying
4 + 3a = 0

Solving
4 + 3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333

Subproblem 3
Set the factor '(-4 + 3a)' equal to zero and attempt to solve:

Simplifying
-4 + 3a = 0

Solving
-4 + 3a = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4

Combine like terms: 0 + 4 = 4
3a = 4

Divide each side by '3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {0, -1.333333333, 1.333333333}

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