15x^3a+20x^4a^6=5x^3a

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Solution for 15x^3a+20x^4a^6=5x^3a equation:


Simplifying
15x3a + 20x4a6 = 5x3a

Solving
15ax3 + 20a6x4 = 5ax3

Solving for variable 'a'.

Reorder the terms:
15ax3 + -5ax3 + 20a6x4 = 5ax3 + -5ax3

Combine like terms: 15ax3 + -5ax3 = 10ax3
10ax3 + 20a6x4 = 5ax3 + -5ax3

Combine like terms: 5ax3 + -5ax3 = 0
10ax3 + 20a6x4 = 0

Factor out the Greatest Common Factor (GCF), '10ax3'.
10ax3(1 + 2a5x) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'ax3' equal to zero and attempt to solve: Simplifying ax3 = 0 Solving ax3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax3 = 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 '(1 + 2a5x)' equal to zero and attempt to solve: Simplifying 1 + 2a5x = 0 Solving 1 + 2a5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a5x = 0 + -1 2a5x = 0 + -1 Combine like terms: 0 + -1 = -1 2a5x = -1 Divide each side by '2x'. a5 = -0.5x-1 Simplifying a5 = -0.5x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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