a^2b-a^10=0

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Solution for a^2b-a^10=0 equation:


Simplifying
a2b + -1a10 = 0

Solving
a2b + -1a10 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(b + -1a8) = 0

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(b + -1a8)' equal to zero and attempt to solve: Simplifying b + -1a8 = 0 Reorder the terms: -1a8 + b = 0 Solving -1a8 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a8 + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -1a8 + 0 = 0 + -1b -1a8 = 0 + -1b Remove the zero: -1a8 = -1b Divide each side by '-1'. a8 = b Simplifying a8 = b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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