81z^2+36z+4=

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Solution for 81z^2+36z+4= equation:


Simplifying
81z2 + 36z + 4 = 0

Reorder the terms:
4 + 36z + 81z2 = 0

Solving
4 + 36z + 81z2 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor '(2 + 9z)' equal to zero and attempt to solve: Simplifying 2 + 9z = 0 Solving 2 + 9z = 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 + 9z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 0 + -2 9z = 0 + -2 Combine like terms: 0 + -2 = -2 9z = -2 Divide each side by '9'. z = -0.2222222222 Simplifying z = -0.2222222222

Subproblem 2

Set the factor '(2 + 9z)' equal to zero and attempt to solve: Simplifying 2 + 9z = 0 Solving 2 + 9z = 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 + 9z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 0 + -2 9z = 0 + -2 Combine like terms: 0 + -2 = -2 9z = -2 Divide each side by '9'. z = -0.2222222222 Simplifying z = -0.2222222222

Solution

z = {-0.2222222222, -0.2222222222}

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