z^2+24z=0

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Solution for z^2+24z=0 equation:


Simplifying
z2 + 24z = 0

Reorder the terms:
24z + z2 = 0

Solving
24z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(24 + z) = 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 '(24 + z)' equal to zero and attempt to solve: Simplifying 24 + z = 0 Solving 24 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + z = 0 + -24 z = 0 + -24 Combine like terms: 0 + -24 = -24 z = -24 Simplifying z = -24

Solution

z = {0, -24}

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