(a^2-2ab+4b^2)*(a+2b^2)=

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Solution for (a^2-2ab+4b^2)*(a+2b^2)= equation: 


Simplifying
(a2 + -2ab + 4b2)(a + 2b2) = 0

Reorder the terms:
(-2ab + a2 + 4b2)(a + 2b2) = 0

Multiply (-2ab + a2 + 4b2) * (a + 2b2)
(-2ab * (a + 2b2) + a2(a + 2b2) + 4b2 * (a + 2b2)) = 0
((a * -2ab + 2b2 * -2ab) + a2(a + 2b2) + 4b2 * (a + 2b2)) = 0

Reorder the terms:
((-4ab3 + -2a2b) + a2(a + 2b2) + 4b2 * (a + 2b2)) = 0
((-4ab3 + -2a2b) + a2(a + 2b2) + 4b2 * (a + 2b2)) = 0
(-4ab3 + -2a2b + (a * a2 + 2b2 * a2) + 4b2 * (a + 2b2)) = 0

Reorder the terms:
(-4ab3 + -2a2b + (2a2b2 + a3) + 4b2 * (a + 2b2)) = 0
(-4ab3 + -2a2b + (2a2b2 + a3) + 4b2 * (a + 2b2)) = 0
(-4ab3 + -2a2b + 2a2b2 + a3 + (a * 4b2 + 2b2 * 4b2)) = 0
(-4ab3 + -2a2b + 2a2b2 + a3 + (4ab2 + 8b4)) = 0

Reorder the terms:
(4ab2 + -4ab3 + -2a2b + 2a2b2 + a3 + 8b4) = 0
(4ab2 + -4ab3 + -2a2b + 2a2b2 + a3 + 8b4) = 0

Solving
4ab2 + -4ab3 + -2a2b + 2a2b2 + a3 + 8b4 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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