5z^2-27z-18=

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Solution for 5z^2-27z-18= equation:


Simplifying
5z2 + -27z + -18 = 0

Reorder the terms:
-18 + -27z + 5z2 = 0

Solving
-18 + -27z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -5z)(6 + -1z) = 0

Subproblem 1

Set the factor '(-3 + -5z)' equal to zero and attempt to solve: Simplifying -3 + -5z = 0 Solving -3 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5z = 0 + 3 -5z = 0 + 3 Combine like terms: 0 + 3 = 3 -5z = 3 Divide each side by '-5'. z = -0.6 Simplifying z = -0.6

Subproblem 2

Set the factor '(6 + -1z)' equal to zero and attempt to solve: Simplifying 6 + -1z = 0 Solving 6 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 0 + -6 -1z = 0 + -6 Combine like terms: 0 + -6 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6

Solution

z = {-0.6, 6}

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