21z^2+41z+18=0

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Solution for 21z^2+41z+18=0 equation:


Simplifying
21z2 + 41z + 18 = 0

Reorder the terms:
18 + 41z + 21z2 = 0

Solving
18 + 41z + 21z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(9 + 7z)(2 + 3z) = 0

Subproblem 1

Set the factor '(9 + 7z)' equal to zero and attempt to solve: Simplifying 9 + 7z = 0 Solving 9 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 0 + -9 7z = 0 + -9 Combine like terms: 0 + -9 = -9 7z = -9 Divide each side by '7'. z = -1.285714286 Simplifying z = -1.285714286

Subproblem 2

Set the factor '(2 + 3z)' equal to zero and attempt to solve: Simplifying 2 + 3z = 0 Solving 2 + 3z = 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 + 3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 0 + -2 3z = 0 + -2 Combine like terms: 0 + -2 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667

Solution

z = {-1.285714286, -0.6666666667}

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