7z^2+23z+2z=0

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Solution for 7z^2+23z+2z=0 equation: 


Simplifying
7z2 + 23z + 2z = 0

Reorder the terms:
23z + 2z + 7z2 = 0

Combine like terms: 23z + 2z = 25z
25z + 7z2 = 0

Solving
25z + 7z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(25 + 7z) = 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 '(25 + 7z)' equal to zero and attempt to solve:

Simplifying
25 + 7z = 0

Solving
25 + 7z = 0

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

Add '-25' to each side of the equation.
25 + -25 + 7z = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 7z = 0 + -25
7z = 0 + -25

Combine like terms: 0 + -25 = -25
7z = -25

Divide each side by '7'.
z = -3.571428571

Simplifying
z = -3.571428571
Solution
z = {0, -3.571428571}

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