(4a^2-3b^2)(16a^4+12a^2b^2+9b^4)=

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Solution for (4a^2-3b^2)(16a^4+12a^2b^2+9b^4)= equation:


Simplifying
(4a2 + -3b2)(16a4 + 12a2b2 + 9b4) = 0

Reorder the terms:
(4a2 + -3b2)(12a2b2 + 16a4 + 9b4) = 0

Multiply (4a2 + -3b2) * (12a2b2 + 16a4 + 9b4)
(4a2 * (12a2b2 + 16a4 + 9b4) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0
((12a2b2 * 4a2 + 16a4 * 4a2 + 9b4 * 4a2) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0

Reorder the terms:
((36a2b4 + 48a4b2 + 64a6) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0
((36a2b4 + 48a4b2 + 64a6) + -3b2 * (12a2b2 + 16a4 + 9b4)) = 0
(36a2b4 + 48a4b2 + 64a6 + (12a2b2 * -3b2 + 16a4 * -3b2 + 9b4 * -3b2)) = 0
(36a2b4 + 48a4b2 + 64a6 + (-36a2b4 + -48a4b2 + -27b6)) = 0

Reorder the terms:
(36a2b4 + -36a2b4 + 48a4b2 + -48a4b2 + 64a6 + -27b6) = 0

Combine like terms: 36a2b4 + -36a2b4 = 0
(0 + 48a4b2 + -48a4b2 + 64a6 + -27b6) = 0
(48a4b2 + -48a4b2 + 64a6 + -27b6) = 0

Combine like terms: 48a4b2 + -48a4b2 = 0
(0 + 64a6 + -27b6) = 0
(64a6 + -27b6) = 0

Solving
64a6 + -27b6 = 0

Solving for variable 'a'.

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

Add '27b6' to each side of the equation.
64a6 + -27b6 + 27b6 = 0 + 27b6

Combine like terms: -27b6 + 27b6 = 0
64a6 + 0 = 0 + 27b6
64a6 = 0 + 27b6
Remove the zero:
64a6 = 27b6

Divide each side by '64'.
a6 = 0.421875b6

Simplifying
a6 = 0.421875b6

Combine like terms: 0.421875b6 + -0.421875b6 = 0.000000
a6 + -0.421875b6 = 0.000000

The solution to this equation could not be determined.

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