14a^3b^2+21a^2b^3-98ab^4=0

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Solution for 14a^3b^2+21a^2b^3-98ab^4=0 equation:


Simplifying
14a3b2 + 21a2b3 + -98ab4 = 0

Reorder the terms:
-98ab4 + 21a2b3 + 14a3b2 = 0

Solving
-98ab4 + 21a2b3 + 14a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7ab2'.
7ab2(-14b2 + 3ab + 2a2) = 0

Factor a trinomial.
7ab2((-7b + -2a)(2b + -1a)) = 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 '(-7b + -2a)' equal to zero and attempt to solve: Simplifying -7b + -2a = 0 Reorder the terms: -2a + -7b = 0 Solving -2a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -2a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 -2a + 0 = 0 + 7b -2a = 0 + 7b Remove the zero: -2a = 7b Divide each side by '-2'. a = -3.5b Simplifying a = -3.5b

Subproblem 3

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

Solution

a = {-3.5b, 2b}

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