a^10b^4-16=0

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Solution for a^10b^4-16=0 equation:


Simplifying
a10b4 + -16 = 0

Reorder the terms:
-16 + a10b4 = 0

Solving
-16 + a10b4 = 0

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 16 + a10b4 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + a10b4 = 0 + 16
a10b4 = 0 + 16

Combine like terms: 0 + 16 = 16
a10b4 = 16

Divide each side by 'b4'.
a10 = 16b-4

Simplifying
a10 = 16b-4

Combine like terms: 16b-4 + -16b-4 = 0
a10 + -16b-4 = 0

Factor out the Greatest Common Factor (GCF), 'b-4'.
b-4(a10b4 + -16) = 0

Factor a difference between two squares.
b-4((a5b2 + 4)(a5b2 + -4)) = 0

Subproblem 1

Set the factor 'b-4' equal to zero and attempt to solve: Simplifying b-4 = 0 Solving b-4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-4' to each side of the equation. b-4 + -1b-4 = 0 + -1b-4 Remove the zero: 0 = -1b-4 Simplifying 0 = -1b-4 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 '(a5b2 + 4)' equal to zero and attempt to solve: Simplifying a5b2 + 4 = 0 Reorder the terms: 4 + a5b2 = 0 Solving 4 + a5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a5b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a5b2 = 0 + -4 a5b2 = 0 + -4 Combine like terms: 0 + -4 = -4 a5b2 = -4 Divide each side by 'b2'. a5 = -4b-2 Simplifying a5 = -4b-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(a5b2 + -4)' equal to zero and attempt to solve: Simplifying a5b2 + -4 = 0 Reorder the terms: -4 + a5b2 = 0 Solving -4 + a5b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a5b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a5b2 = 0 + 4 a5b2 = 0 + 4 Combine like terms: 0 + 4 = 4 a5b2 = 4 Divide each side by 'b2'. a5 = 4b-2 Simplifying a5 = 4b-2 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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