-8z(z+7)=0

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Solution for -8z(z+7)=0 equation: 


Simplifying
-8z(z + 7) = 0

Reorder the terms:
-8z(7 + z) = 0
(7 * -8z + z * -8z) = 0
(-56z + -8z2) = 0

Solving
-56z + -8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '-8z'.
-8z(7 + z) = 0

Ignore the factor -8.

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

Simplifying
7 + z = 0

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

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

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

Simplifying
z = -7
Solution
z = {0, -7}

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