30x^4a+24x^2a^2=0

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Solution for 30x^4a+24x^2a^2=0 equation:


Simplifying
30x4a + 24x2a2 = 0

Solving
30ax4 + 24a2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6ax2'.
6ax2(5x2 + 4a) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'ax2' equal to zero and attempt to solve: Simplifying ax2 = 0 Solving ax2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax2 = 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 '(5x2 + 4a)' equal to zero and attempt to solve: Simplifying 5x2 + 4a = 0 Reorder the terms: 4a + 5x2 = 0 Solving 4a + 5x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5x2' to each side of the equation. 4a + 5x2 + -5x2 = 0 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4a + 0 = 0 + -5x2 4a = 0 + -5x2 Remove the zero: 4a = -5x2 Divide each side by '4'. a = -1.25x2 Simplifying a = -1.25x2

Solution

a = {-1.25x2}

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