2(z)(z)+20z=0

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Solution for 2(z)(z)+20z=0 equation: 


Simplifying
2(z)(z) + 20z = 0

Multiply z * z
2z2 + 20z = 0

Reorder the terms:
20z + 2z2 = 0

Solving
20z + 2z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(10 + z) = 0

Ignore the factor 2.

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

Simplifying
10 + z = 0

Solving
10 + z = 0

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

Add '-10' to each side of the equation.
10 + -10 + z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + z = 0 + -10
z = 0 + -10

Combine like terms: 0 + -10 = -10
z = -10

Simplifying
z = -10
Solution
z = {0, -10}

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