6a^4b^2-11a^3b^3+4a^2b^4=

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Solution for 6a^4b^2-11a^3b^3+4a^2b^4= equation:


Simplifying
6a4b2 + -11a3b3 + 4a2b4 = 0

Reorder the terms:
4a2b4 + -11a3b3 + 6a4b2 = 0

Solving
4a2b4 + -11a3b3 + 6a4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2b2'.
a2b2(4b2 + -11ab + 6a2) = 0

Factor a trinomial.
a2b2((b + -2a)(4b + -3a)) = 0

Subproblem 1

Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 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 '(b + -2a)' equal to zero and attempt to solve: Simplifying b + -2a = 0 Reorder the terms: -2a + b = 0 Solving -2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -2a + 0 = 0 + -1b -2a = 0 + -1b Remove the zero: -2a = -1b Divide each side by '-2'. a = 0.5b Simplifying a = 0.5b

Subproblem 3

Set the factor '(4b + -3a)' equal to zero and attempt to solve: Simplifying 4b + -3a = 0 Reorder the terms: -3a + 4b = 0 Solving -3a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -3a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -3a + 0 = 0 + -4b -3a = 0 + -4b Remove the zero: -3a = -4b Divide each side by '-3'. a = 1.333333333b Simplifying a = 1.333333333b

Solution

a = {0.5b, 1.333333333b}

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