64a^6-b^12=0

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Solution for 64a^6-b^12=0 equation:


Simplifying
64a6 + -1b12 = 0

Solving
64a6 + -1b12 = 0

Solving for variable 'a'.

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

Add 'b12' to each side of the equation.
64a6 + -1b12 + b12 = 0 + b12

Combine like terms: -1b12 + b12 = 0
64a6 + 0 = 0 + b12
64a6 = 0 + b12
Remove the zero:
64a6 = b12

Divide each side by '64'.
a6 = 0.015625b12

Simplifying
a6 = 0.015625b12

Combine like terms: 0.015625b12 + -0.015625b12 = 0.000000
a6 + -0.015625b12 = 0.000000

Factor a difference between two squares.
(a3 + 0.125b6)(a3 + -0.125b6) = 0.000000

Subproblem 1

Set the factor '(a3 + 0.125b6)' equal to zero and attempt to solve: Simplifying a3 + 0.125b6 = 0 Solving a3 + 0.125b6 = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.125b6' to each side of the equation. a3 + 0.125b6 + -0.125b6 = 0 + -0.125b6 Combine like terms: 0.125b6 + -0.125b6 = 0.000 a3 + 0.000 = 0 + -0.125b6 a3 = 0 + -0.125b6 Remove the zero: a3 = -0.125b6 Simplifying a3 = -0.125b6 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 '(a3 + -0.125b6)' equal to zero and attempt to solve: Simplifying a3 + -0.125b6 = 0 Solving a3 + -0.125b6 = 0 Move all terms containing a to the left, all other terms to the right. Add '0.125b6' to each side of the equation. a3 + -0.125b6 + 0.125b6 = 0 + 0.125b6 Combine like terms: -0.125b6 + 0.125b6 = 0.000 a3 + 0.000 = 0 + 0.125b6 a3 = 0 + 0.125b6 Remove the zero: a3 = 0.125b6 Simplifying a3 = 0.125b6 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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