4z^2=-20z

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Solution for 4z^2=-20z equation:


Simplifying
4z2 = -20z

Solving
4z2 = -20z

Solving for variable 'z'.

Reorder the terms:
20z + 4z2 = -20z + 20z

Combine like terms: -20z + 20z = 0
20z + 4z2 = 0

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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