3z^2=-5z

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Solution for 3z^2=-5z equation:


Simplifying
3z2 = -5z

Solving
3z2 = -5z

Solving for variable 'z'.

Reorder the terms:
5z + 3z2 = -5z + 5z

Combine like terms: -5z + 5z = 0
5z + 3z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(5 + 3z) = 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 '(5 + 3z)' equal to zero and attempt to solve: Simplifying 5 + 3z = 0 Solving 5 + 3z = 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 + 3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 0 + -5 3z = 0 + -5 Combine like terms: 0 + -5 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667

Solution

z = {0, -1.666666667}

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