-3z^2-11z+20=

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Solution for -3z^2-11z+20= equation:


Simplifying
-3z2 + -11z + 20 = 0

Reorder the terms:
20 + -11z + -3z2 = 0

Solving
20 + -11z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(4 + -3z)(5 + z) = 0

Subproblem 1

Set the factor '(4 + -3z)' equal to zero and attempt to solve: Simplifying 4 + -3z = 0 Solving 4 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3z = 0 + -4 -3z = 0 + -4 Combine like terms: 0 + -4 = -4 -3z = -4 Divide each side by '-3'. z = 1.333333333 Simplifying z = 1.333333333

Subproblem 2

Set the factor '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 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 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Simplifying z = -5

Solution

z = {1.333333333, -5}

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