2z*2z+20z=0

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Solution for 2z*2z+20z=0 equation: 


Simplifying
2z * 2z + 20z = 0

Reorder the terms for easier multiplication:
2 * 2z * z + 20z = 0

Multiply 2 * 2
4z * z + 20z = 0

Multiply z * z
4z2 + 20z = 0

Reorder the terms:
20z + 4z2 = 0

Solving
20z + 4z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(5 + z) = 0

Ignore the factor 4.

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 '(5 + z)' equal to zero and attempt to solve:

Simplifying
5 + z = 0

Solving
5 + z = 0

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

Add '-5' to each side of the equation.
5 + -5 + z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + z = 0 + -5
z = 0 + -5

Combine like terms: 0 + -5 = -5
z = -5

Simplifying
z = -5
Solution
z = {0, -5}

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