(-7a^3b^2)(4ab-a^2b^2)=0

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Solution for (-7a^3b^2)(4ab-a^2b^2)=0 equation:


Simplifying
(-7a3b2)(4ab + -1a2b2) = 0

Remove parenthesis around (-7a3b2)
-7a3b2(4ab + -1a2b2) = 0
(4ab * -7a3b2 + -1a2b2 * -7a3b2) = 0
(-28a4b3 + 7a5b4) = 0

Solving
-28a4b3 + 7a5b4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a4b3'.
7a4b3(-4 + ab) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'a4b3' equal to zero and attempt to solve: Simplifying a4b3 = 0 Solving a4b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b3 = 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 '(-4 + ab)' equal to zero and attempt to solve: Simplifying -4 + ab = 0 Solving -4 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + ab = 0 + 4 Combine like terms: -4 + 4 = 0 0 + ab = 0 + 4 ab = 0 + 4 Combine like terms: 0 + 4 = 4 ab = 4 Divide each side by 'b'. a = 4b-1 Simplifying a = 4b-1

Solution

a = {4b-1}

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