24a^2b^7+6ab^3-18ab^7=

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Solution for 24a^2b^7+6ab^3-18ab^7= equation: 


Simplifying
24a2b7 + 6ab3 + -18ab7 = 0

Reorder the terms:
6ab3 + -18ab7 + 24a2b7 = 0

Solving
6ab3 + -18ab7 + 24a2b7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6ab3'.
6ab3(1 + -3b4 + 4ab4) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'ab3' equal to zero and attempt to solve:

Simplifying
ab3 = 0

Solving
ab3 = 0

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

Simplifying
ab3 = 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 + -3b4 + 4ab4)' equal to zero and attempt to solve:

Simplifying
1 + -3b4 + 4ab4 = 0

Reorder the terms:
1 + 4ab4 + -3b4 = 0

Solving
1 + 4ab4 + -3b4 = 0

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

Add '-1' to each side of the equation.
1 + 4ab4 + -1 + -3b4 = 0 + -1

Reorder the terms:
1 + -1 + 4ab4 + -3b4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4ab4 + -3b4 = 0 + -1
4ab4 + -3b4 = 0 + -1

Combine like terms: 0 + -1 = -1
4ab4 + -3b4 = -1

Add '3b4' to each side of the equation.
4ab4 + -3b4 + 3b4 = -1 + 3b4

Combine like terms: -3b4 + 3b4 = 0
4ab4 + 0 = -1 + 3b4
4ab4 = -1 + 3b4

Divide each side by '4b4'.
a = -0.25b-4 + 0.75

Simplifying
a = -0.25b-4 + 0.75

Reorder the terms:
a = 0.75 + -0.25b-4
Solution
a = {0.75 + -0.25b-4}

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