a^6b^3+125=0

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Solution for a^6b^3+125=0 equation:


Simplifying
a6b3 + 125 = 0

Reorder the terms:
125 + a6b3 = 0

Solving
125 + a6b3 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-125' to each side of the equation.
125 + -125 + a6b3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + a6b3 = 0 + -125
a6b3 = 0 + -125

Combine like terms: 0 + -125 = -125
a6b3 = -125

Divide each side by 'b3'.
a6 = -125b-3

Simplifying
a6 = -125b-3

Combine like terms: -125b-3 + 125b-3 = 0
a6 + 125b-3 = 0

Factor out the Greatest Common Factor (GCF), 'b-3'.
b-3(a6b3 + 125) = 0

Subproblem 1

Set the factor 'b-3' equal to zero and attempt to solve: Simplifying b-3 = 0 Solving b-3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-3' to each side of the equation. b-3 + -1b-3 = 0 + -1b-3 Remove the zero: 0 = -1b-3 Simplifying 0 = -1b-3 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 '(a6b3 + 125)' equal to zero and attempt to solve: Simplifying a6b3 + 125 = 0 Reorder the terms: 125 + a6b3 = 0 Solving 125 + a6b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + a6b3 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + a6b3 = 0 + -125 a6b3 = 0 + -125 Combine like terms: 0 + -125 = -125 a6b3 = -125 Divide each side by 'b3'. a6 = -125b-3 Simplifying a6 = -125b-3 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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