z(2z-7)=0

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Solution for z(2z-7)=0 equation: 


Simplifying
z(2z + -7) = 0

Reorder the terms:
z(-7 + 2z) = 0
(-7 * z + 2z * z) = 0
(-7z + 2z2) = 0

Solving
-7z + 2z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-7 + 2z) = 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 '(-7 + 2z)' equal to zero and attempt to solve:

Simplifying
-7 + 2z = 0

Solving
-7 + 2z = 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 + 2z = 0 + 7

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

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

Divide each side by '2'.
z = 3.5

Simplifying
z = 3.5
Solution
z = {0, 3.5}

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