36a^8b^12-9c^10=0

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Solution for 36a^8b^12-9c^10=0 equation:


Simplifying
36a8b12 + -9c10 = 0

Solving
36a8b12 + -9c10 = 0

Solving for variable 'a'.

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

Add '9c10' to each side of the equation.
36a8b12 + -9c10 + 9c10 = 0 + 9c10

Combine like terms: -9c10 + 9c10 = 0
36a8b12 + 0 = 0 + 9c10
36a8b12 = 0 + 9c10
Remove the zero:
36a8b12 = 9c10

Divide each side by '36b12'.
a8 = 0.25b-12c10

Simplifying
a8 = 0.25b-12c10

Combine like terms: 0.25b-12c10 + -0.25b-12c10 = 0.00
a8 + -0.25b-12c10 = 0.00

Factor a difference between two squares.
(a4 + 0.5b-6c5)(a4 + -0.5b-6c5) = 0.00

Subproblem 1

Set the factor '(a4 + 0.5b-6c5)' equal to zero and attempt to solve: Simplifying a4 + 0.5b-6c5 = 0 Solving a4 + 0.5b-6c5 = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.5b-6c5' to each side of the equation. a4 + 0.5b-6c5 + -0.5b-6c5 = 0 + -0.5b-6c5 Combine like terms: 0.5b-6c5 + -0.5b-6c5 = 0.0 a4 + 0.0 = 0 + -0.5b-6c5 a4 = 0 + -0.5b-6c5 Remove the zero: a4 = -0.5b-6c5 Simplifying a4 = -0.5b-6c5 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 '(a4 + -0.5b-6c5)' equal to zero and attempt to solve: Simplifying a4 + -0.5b-6c5 = 0 Solving a4 + -0.5b-6c5 = 0 Move all terms containing a to the left, all other terms to the right. Add '0.5b-6c5' to each side of the equation. a4 + -0.5b-6c5 + 0.5b-6c5 = 0 + 0.5b-6c5 Combine like terms: -0.5b-6c5 + 0.5b-6c5 = 0.0 a4 + 0.0 = 0 + 0.5b-6c5 a4 = 0 + 0.5b-6c5 Remove the zero: a4 = 0.5b-6c5 Simplifying a4 = 0.5b-6c5 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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