20ab^2-40a^2b^3+100ab^4=

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Solution for 20ab^2-40a^2b^3+100ab^4= equation:


Simplifying
20ab2 + -40a2b3 + 100ab4 = 0

Reorder the terms:
20ab2 + 100ab4 + -40a2b3 = 0

Solving
20ab2 + 100ab4 + -40a2b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '20ab2'.
20ab2(1 + 5b2 + -2ab) = 0

Ignore the factor 20.

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 '(1 + 5b2 + -2ab)' equal to zero and attempt to solve: Simplifying 1 + 5b2 + -2ab = 0 Reorder the terms: 1 + -2ab + 5b2 = 0 Solving 1 + -2ab + 5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ab + -1 + 5b2 = 0 + -1 Reorder the terms: 1 + -1 + -2ab + 5b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ab + 5b2 = 0 + -1 -2ab + 5b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2ab + 5b2 = -1 Add '-5b2' to each side of the equation. -2ab + 5b2 + -5b2 = -1 + -5b2 Combine like terms: 5b2 + -5b2 = 0 -2ab + 0 = -1 + -5b2 -2ab = -1 + -5b2 Divide each side by '-2b'. a = 0.5b-1 + 2.5b Simplifying a = 0.5b-1 + 2.5b

Solution

a = {0.5b-1 + 2.5b}

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