2a^2b(8a^2b-8c-1)-(4a^2b^2)=

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Solution for 2a^2b(8a^2b-8c-1)-(4a^2b^2)= equation:


Simplifying
2a2b(8a2b + -8c + -1) + -1(4a2b2) = 0

Reorder the terms:
2a2b(-1 + 8a2b + -8c) + -1(4a2b2) = 0
(-1 * 2a2b + 8a2b * 2a2b + -8c * 2a2b) + -1(4a2b2) = 0

Reorder the terms:
(-2a2b + -16a2bc + 16a4b2) + -1(4a2b2) = 0
(-2a2b + -16a2bc + 16a4b2) + -1(4a2b2) = 0

Remove parenthesis around (4a2b2)
-2a2b + -16a2bc + 16a4b2 + -1 * 4a2b2 = 0

Multiply -1 * 4
-2a2b + -16a2bc + 16a4b2 + -4a2b2 = 0

Reorder the terms:
-2a2b + -16a2bc + -4a2b2 + 16a4b2 = 0

Solving
-2a2b + -16a2bc + -4a2b2 + 16a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2b'.
2a2b(-1 + -8c + -2b + 8a2b) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 + -8c + -2b + 8a2b)' equal to zero and attempt to solve: Simplifying -1 + -8c + -2b + 8a2b = 0 Reorder the terms: -1 + 8a2b + -2b + -8c = 0 Solving -1 + 8a2b + -2b + -8c = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8a2b + -2b + 1 + -8c = 0 + 1 Reorder the terms: -1 + 1 + 8a2b + -2b + -8c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8a2b + -2b + -8c = 0 + 1 8a2b + -2b + -8c = 0 + 1 Combine like terms: 0 + 1 = 1 8a2b + -2b + -8c = 1 Add '2b' to each side of the equation. 8a2b + -2b + 2b + -8c = 1 + 2b Combine like terms: -2b + 2b = 0 8a2b + 0 + -8c = 1 + 2b 8a2b + -8c = 1 + 2b Add '8c' to each side of the equation. 8a2b + -8c + 8c = 1 + 2b + 8c Combine like terms: -8c + 8c = 0 8a2b + 0 = 1 + 2b + 8c 8a2b = 1 + 2b + 8c Divide each side by '8b'. a2 = 0.125b-1 + 0.25 + b-1c Simplifying a2 = 0.125b-1 + 0.25 + b-1c Reorder the terms: a2 = 0.25 + 0.125b-1 + b-1c 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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