z+4z^11=16z

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Solution for z+4z^11=16z equation:


Simplifying
z + 4z11 = 16z

Solving
z + 4z11 = 16z

Solving for variable 'z'.

Reorder the terms:
z + -16z + 4z11 = 16z + -16z

Combine like terms: z + -16z = -15z
-15z + 4z11 = 16z + -16z

Combine like terms: 16z + -16z = 0
-15z + 4z11 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-15 + 4z10) = 0

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(-15 + 4z10)' equal to zero and attempt to solve: Simplifying -15 + 4z10 = 0 Solving -15 + 4z10 = 0 Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4z10 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4z10 = 0 + 15 4z10 = 0 + 15 Combine like terms: 0 + 15 = 15 4z10 = 15 Divide each side by '4'. z10 = 3.75 Simplifying z10 = 3.75 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

z = {0}

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