16z^2+47z=0

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Solution for 16z^2+47z=0 equation:


Simplifying
16z2 + 47z = 0

Reorder the terms:
47z + 16z2 = 0

Solving
47z + 16z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(47 + 16z) = 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 '(47 + 16z)' equal to zero and attempt to solve: Simplifying 47 + 16z = 0 Solving 47 + 16z = 0 Move all terms containing z to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 16z = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 16z = 0 + -47 16z = 0 + -47 Combine like terms: 0 + -47 = -47 16z = -47 Divide each side by '16'. z = -2.9375 Simplifying z = -2.9375

Solution

z = {0, -2.9375}

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