8z^3-24z^2-1664z=

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Solution for 8z^3-24z^2-1664z= equation:


Simplifying
8z3 + -24z2 + -1664z = 0

Reorder the terms:
-1664z + -24z2 + 8z3 = 0

Solving
-1664z + -24z2 + 8z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '8z'.
8z(-208 + -3z + z2) = 0

Factor a trinomial.
8z((-13 + -1z)(16 + -1z)) = 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 '(-13 + -1z)' equal to zero and attempt to solve: Simplifying -13 + -1z = 0 Solving -13 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1z = 0 + 13 -1z = 0 + 13 Combine like terms: 0 + 13 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13

Subproblem 3

Set the factor '(16 + -1z)' equal to zero and attempt to solve: Simplifying 16 + -1z = 0 Solving 16 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1z = 0 + -16 -1z = 0 + -16 Combine like terms: 0 + -16 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16

Solution

z = {0, -13, 16}

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