4z^2+43z+108=0

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Solution for 4z^2+43z+108=0 equation:


Simplifying
4z2 + 43z + 108 = 0

Reorder the terms:
108 + 43z + 4z2 = 0

Solving
108 + 43z + 4z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(27 + 4z)(4 + z) = 0

Subproblem 1

Set the factor '(27 + 4z)' equal to zero and attempt to solve: Simplifying 27 + 4z = 0 Solving 27 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4z = 0 + -27 4z = 0 + -27 Combine like terms: 0 + -27 = -27 4z = -27 Divide each side by '4'. z = -6.75 Simplifying z = -6.75

Subproblem 2

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

Solution

z = {-6.75, -4}

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