-5(z*z)-10z=0

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Solution for -5(z*z)-10z=0 equation: 


Simplifying
-5(z * z) + -10z = 0

Multiply z * z
-5(z2) + -10z = 0

Reorder the terms:
-10z + -5z2 = 0

Solving
-10z + -5z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '-5z'.
-5z(2 + z) = 0

Ignore the factor -5.

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

Simplifying
2 + z = 0

Solving
2 + z = 0

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

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

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

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

Simplifying
z = -2
Solution
z = {0, -2}

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