5z^2+22z+8=0

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Solution for 5z^2+22z+8=0 equation:


Simplifying
5z2 + 22z + 8 = 0

Reorder the terms:
8 + 22z + 5z2 = 0

Solving
8 + 22z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(4 + z)(2 + 5z) = 0

Subproblem 1

Set the factor '(4 + z)' equal to zero and attempt to solve: Simplifying 4 + z = 0 Solving 4 + z = 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 + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z = 0 + -4 z = 0 + -4 Combine like terms: 0 + -4 = -4 z = -4 Simplifying z = -4

Subproblem 2

Set the factor '(2 + 5z)' equal to zero and attempt to solve: Simplifying 2 + 5z = 0 Solving 2 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 0 + -2 5z = 0 + -2 Combine like terms: 0 + -2 = -2 5z = -2 Divide each side by '5'. z = -0.4 Simplifying z = -0.4

Solution

z = {-4, -0.4}

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