3z^2-8z-16=0

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Solution for 3z^2-8z-16=0 equation:


Simplifying
3z2 + -8z + -16 = 0

Reorder the terms:
-16 + -8z + 3z2 = 0

Solving
-16 + -8z + 3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -3z)(4 + -1z) = 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 '(4 + -1z)' equal to zero and attempt to solve: Simplifying 4 + -1z = 0 Solving 4 + -1z = 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 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4

Solution

z = {-1.333333333, 4}

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