2z^2-z-21=

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Solution for 2z^2-z-21= equation:


Simplifying
2z2 + -1z + -21 = 0

Reorder the terms:
-21 + -1z + 2z2 = 0

Solving
-21 + -1z + 2z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -1z)(7 + -2z) = 0

Subproblem 1

Set the factor '(-3 + -1z)' equal to zero and attempt to solve: Simplifying -3 + -1z = 0 Solving -3 + -1z = 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 + -1z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 0 + 3 -1z = 0 + 3 Combine like terms: 0 + 3 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3

Subproblem 2

Set the factor '(7 + -2z)' equal to zero and attempt to solve: Simplifying 7 + -2z = 0 Solving 7 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = 0 + -7 -2z = 0 + -7 Combine like terms: 0 + -7 = -7 -2z = -7 Divide each side by '-2'. z = 3.5 Simplifying z = 3.5

Solution

z = {-3, 3.5}

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