21a^2b^6+7ab^2-14ab^5=

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Solution for 21a^2b^6+7ab^2-14ab^5= equation:


Simplifying
21a2b6 + 7ab2 + -14ab5 = 0

Reorder the terms:
7ab2 + -14ab5 + 21a2b6 = 0

Solving
7ab2 + -14ab5 + 21a2b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7ab2'.
7ab2(1 + -2b3 + 3ab4) = 0

Ignore the factor 7.

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 '(1 + -2b3 + 3ab4)' equal to zero and attempt to solve: Simplifying 1 + -2b3 + 3ab4 = 0 Reorder the terms: 1 + 3ab4 + -2b3 = 0 Solving 1 + 3ab4 + -2b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3ab4 + -1 + -2b3 = 0 + -1 Reorder the terms: 1 + -1 + 3ab4 + -2b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3ab4 + -2b3 = 0 + -1 3ab4 + -2b3 = 0 + -1 Combine like terms: 0 + -1 = -1 3ab4 + -2b3 = -1 Add '2b3' to each side of the equation. 3ab4 + -2b3 + 2b3 = -1 + 2b3 Combine like terms: -2b3 + 2b3 = 0 3ab4 + 0 = -1 + 2b3 3ab4 = -1 + 2b3 Divide each side by '3b4'. a = -0.3333333333b-4 + 0.6666666667b-1 Simplifying a = -0.3333333333b-4 + 0.6666666667b-1

Solution

a = {-0.3333333333b-4 + 0.6666666667b-1}

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