9c^8-9q^8=0

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Solution for 9c^8-9q^8=0 equation:


Simplifying
9c8 + -9q8 = 0

Solving
9c8 + -9q8 = 0

Solving for variable 'c'.

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

Add '9q8' to each side of the equation.
9c8 + -9q8 + 9q8 = 0 + 9q8

Combine like terms: -9q8 + 9q8 = 0
9c8 + 0 = 0 + 9q8
9c8 = 0 + 9q8
Remove the zero:
9c8 = 9q8

Divide each side by '9'.
c8 = q8

Simplifying
c8 = q8

Combine like terms: q8 + -1q8 = 0
c8 + -1q8 = 0

Factor a difference between two squares.
(c4 + q4)(c4 + -1q4) = 0

Factor a difference between two squares.
(c4 + q4)((c2 + q2)(c2 + -1q2)) = 0

Factor a difference between two squares.
(c4 + q4)((c2 + q2)((c + q)(c + -1q))) = 0

Subproblem 1

Set the factor '(c4 + q4)' equal to zero and attempt to solve: Simplifying c4 + q4 = 0 Solving c4 + q4 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1q4' to each side of the equation. c4 + q4 + -1q4 = 0 + -1q4 Combine like terms: q4 + -1q4 = 0 c4 + 0 = 0 + -1q4 c4 = 0 + -1q4 Remove the zero: c4 = -1q4 Simplifying c4 = -1q4 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 '(c2 + q2)' equal to zero and attempt to solve: Simplifying c2 + q2 = 0 Solving c2 + q2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1q2' to each side of the equation. c2 + q2 + -1q2 = 0 + -1q2 Combine like terms: q2 + -1q2 = 0 c2 + 0 = 0 + -1q2 c2 = 0 + -1q2 Remove the zero: c2 = -1q2 Simplifying c2 = -1q2 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 '(c + q)' equal to zero and attempt to solve: Simplifying c + q = 0 Solving c + q = 0 Move all terms containing c to the left, all other terms to the right. Add '-1q' to each side of the equation. c + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 c + 0 = 0 + -1q c = 0 + -1q Remove the zero: c = -1q Simplifying c = -1q

Subproblem 4

Set the factor '(c + -1q)' equal to zero and attempt to solve: Simplifying c + -1q = 0 Solving c + -1q = 0 Move all terms containing c to the left, all other terms to the right. Add 'q' to each side of the equation. c + -1q + q = 0 + q Combine like terms: -1q + q = 0 c + 0 = 0 + q c = 0 + q Remove the zero: c = q Simplifying c = q

Solution

c = {-1q, q}

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