25ab^4+20a^3b^2=0

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Solution for 25ab^4+20a^3b^2=0 equation:


Simplifying
25ab4 + 20a3b2 = 0

Solving
25ab4 + 20a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab2'.
5ab2(5b2 + 4a2) = 0

Ignore the factor 5.

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 '(5b2 + 4a2)' equal to zero and attempt to solve: Simplifying 5b2 + 4a2 = 0 Reorder the terms: 4a2 + 5b2 = 0 Solving 4a2 + 5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b2' to each side of the equation. 4a2 + 5b2 + -5b2 = 0 + -5b2 Combine like terms: 5b2 + -5b2 = 0 4a2 + 0 = 0 + -5b2 4a2 = 0 + -5b2 Remove the zero: 4a2 = -5b2 Divide each side by '4'. a2 = -1.25b2 Simplifying a2 = -1.25b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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