14z^5-49z^2=0

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Solution for 14z^5-49z^2=0 equation: 


Simplifying
14z5 + -49z2 = 0

Reorder the terms:
-49z2 + 14z5 = 0

Solving
-49z2 + 14z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '7z2'.
7z2(-7 + 2z3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve:

Simplifying
z2 = 0

Solving
z2 = 0

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

Simplifying
z2 = 0

Take the square root of each side:
z = {0}

Subproblem 2
Set the factor '(-7 + 2z3)' equal to zero and attempt to solve:

Simplifying
-7 + 2z3 = 0

Solving
-7 + 2z3 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2z3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2z3 = 0 + 7
2z3 = 0 + 7

Combine like terms: 0 + 7 = 7
2z3 = 7

Divide each side by '2'.
z3 = 3.5

Simplifying
z3 = 3.5

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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