6a^4q+8a^5q^7=2a^4q

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Solution for 6a^4q+8a^5q^7=2a^4q equation:


Simplifying
6a4q + 8a5q7 = 2a4q

Solving
6a4q + 8a5q7 = 2a4q

Solving for variable 'a'.

Reorder the terms:
6a4q + -2a4q + 8a5q7 = 2a4q + -2a4q

Combine like terms: 6a4q + -2a4q = 4a4q
4a4q + 8a5q7 = 2a4q + -2a4q

Combine like terms: 2a4q + -2a4q = 0
4a4q + 8a5q7 = 0

Factor out the Greatest Common Factor (GCF), '4a4q'.
4a4q(1 + 2aq6) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a4q' equal to zero and attempt to solve: Simplifying a4q = 0 Solving a4q = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4q = 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 + 2aq6)' equal to zero and attempt to solve: Simplifying 1 + 2aq6 = 0 Solving 1 + 2aq6 = 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 + 2aq6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2aq6 = 0 + -1 2aq6 = 0 + -1 Combine like terms: 0 + -1 = -1 2aq6 = -1 Divide each side by '2q6'. a = -0.5q-6 Simplifying a = -0.5q-6

Solution

a = {-0.5q-6}

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