6x^4a^2+4x^2a^3=

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Solution for 6x^4a^2+4x^2a^3= equation:


Simplifying
6x4a2 + 4x2a3 = 0

Solving
6a2x4 + 4a3x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2x2'.
2a2x2(3x2 + 2a) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2x2' equal to zero and attempt to solve: Simplifying a2x2 = 0 Solving a2x2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2x2 = 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 '(3x2 + 2a)' equal to zero and attempt to solve: Simplifying 3x2 + 2a = 0 Reorder the terms: 2a + 3x2 = 0 Solving 2a + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x2' to each side of the equation. 2a + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2a + 0 = 0 + -3x2 2a = 0 + -3x2 Remove the zero: 2a = -3x2 Divide each side by '2'. a = -1.5x2 Simplifying a = -1.5x2

Solution

a = {-1.5x2}

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