6z^3-18z^2-2040z=

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Solution for 6z^3-18z^2-2040z= equation:


Simplifying
6z3 + -18z2 + -2040z = 0

Reorder the terms:
-2040z + -18z2 + 6z3 = 0

Solving
-2040z + -18z2 + 6z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '6z'.
6z(-340 + -3z + z2) = 0

Factor a trinomial.
6z((-17 + -1z)(20 + -1z)) = 0

Ignore the factor 6.

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 '(-17 + -1z)' equal to zero and attempt to solve: Simplifying -17 + -1z = 0 Solving -17 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1z = 0 + 17 -1z = 0 + 17 Combine like terms: 0 + 17 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17

Subproblem 3

Set the factor '(20 + -1z)' equal to zero and attempt to solve: Simplifying 20 + -1z = 0 Solving 20 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 0 + -20 -1z = 0 + -20 Combine like terms: 0 + -20 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20

Solution

z = {0, -17, 20}

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