9x^4a^2+15x^2a^3=0

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Solution for 9x^4a^2+15x^2a^3=0 equation:


Simplifying
9x4a2 + 15x2a3 = 0

Solving
9a2x4 + 15a3x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2x2'.
3a2x2(3x2 + 5a) = 0

Ignore the factor 3.

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 + 5a)' equal to zero and attempt to solve: Simplifying 3x2 + 5a = 0 Reorder the terms: 5a + 3x2 = 0 Solving 5a + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x2' to each side of the equation. 5a + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5a + 0 = 0 + -3x2 5a = 0 + -3x2 Remove the zero: 5a = -3x2 Divide each side by '5'. a = -0.6x2 Simplifying a = -0.6x2

Solution

a = {-0.6x2}

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