2z^2-13z-24=

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Solution for 2z^2-13z-24= equation:


Simplifying
2z2 + -13z + -24 = 0

Reorder the terms:
-24 + -13z + 2z2 = 0

Solving
-24 + -13z + 2z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -2z)(8 + -1z) = 0

Subproblem 1

Set the factor '(-3 + -2z)' equal to zero and attempt to solve: Simplifying -3 + -2z = 0 Solving -3 + -2z = 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 + -2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2z = 0 + 3 -2z = 0 + 3 Combine like terms: 0 + 3 = 3 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5

Subproblem 2

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

Solution

z = {-1.5, 8}

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