4z^8=8z^7

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Solution for 4z^8=8z^7 equation:


Simplifying
4z8 = 8z7

Solving
4z8 = 8z7

Solving for variable 'z'.

Reorder the terms:
-8z7 + 4z8 = 8z7 + -8z7

Combine like terms: 8z7 + -8z7 = 0
-8z7 + 4z8 = 0

Factor out the Greatest Common Factor (GCF), '4z7'.
4z7(-2 + z) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'z7' equal to zero and attempt to solve: Simplifying z7 = 0 Solving z7 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z7 = 0 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 '(-2 + z)' equal to zero and attempt to solve: Simplifying -2 + z = 0 Solving -2 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0 + 2 z = 0 + 2 Combine like terms: 0 + 2 = 2 z = 2 Simplifying z = 2

Solution

z = {2}

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