4a^2b^2-16ab^3+8ab^2c=0

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Solution for 4a^2b^2-16ab^3+8ab^2c=0 equation:


Simplifying
4a2b2 + -16ab3 + 8ab2c = 0

Reorder the terms:
8ab2c + -16ab3 + 4a2b2 = 0

Solving
8ab2c + -16ab3 + 4a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab2'.
4ab2(2c + -4b + a) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2c + -4b + a)' equal to zero and attempt to solve: Simplifying 2c + -4b + a = 0 Reorder the terms: a + -4b + 2c = 0 Solving a + -4b + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b + 2c = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 + 2c = 0 + 4b a + 2c = 0 + 4b Remove the zero: a + 2c = 4b Add '-2c' to each side of the equation. a + 2c + -2c = 4b + -2c Combine like terms: 2c + -2c = 0 a + 0 = 4b + -2c a = 4b + -2c Simplifying a = 4b + -2c

Solution

a = {4b + -2c}

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