-6*a^4*b^3*(4*b^2-3*b+17)=

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Solution for -6*a^4*b^3*(4*b^2-3*b+17)= equation:


Simplifying
-6a4 * b3(4b2 + -3b + 17) = 0

Reorder the terms:
-6a4 * b3(17 + -3b + 4b2) = 0

Multiply a4 * b3
-6a4b3(17 + -3b + 4b2) = 0
(17 * -6a4b3 + -3b * -6a4b3 + 4b2 * -6a4b3) = 0
(-102a4b3 + 18a4b4 + -24a4b5) = 0

Solving
-102a4b3 + 18a4b4 + -24a4b5 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '6a4b3'.
6a4b3(-17 + 3b + -4b2) = 0

Ignore the factor 6.

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 '(-17 + 3b + -4b2)' equal to zero and attempt to solve: Simplifying -17 + 3b + -4b2 = 0 Solving -17 + 3b + -4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 3b + 17 + -4b2 = 0 + 17 Reorder the terms: -17 + 17 + 3b + -4b2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3b + -4b2 = 0 + 17 3b + -4b2 = 0 + 17 Combine like terms: 0 + 17 = 17 3b + -4b2 = 17 Add '-3b' to each side of the equation. 3b + -3b + -4b2 = 17 + -3b Combine like terms: 3b + -3b = 0 0 + -4b2 = 17 + -3b -4b2 = 17 + -3b Add '4b2' to each side of the equation. -4b2 + 4b2 = 17 + -3b + 4b2 Combine like terms: -4b2 + 4b2 = 0 0 = 17 + -3b + 4b2 Simplifying 0 = 17 + -3b + 4b2 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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