z^2+15z+26=0

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Solution for z^2+15z+26=0 equation:


Simplifying
z2 + 15z + 26 = 0

Reorder the terms:
26 + 15z + z2 = 0

Solving
26 + 15z + z2 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor '(13 + z)' equal to zero and attempt to solve: Simplifying 13 + z = 0 Solving 13 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + z = 0 + -13 z = 0 + -13 Combine like terms: 0 + -13 = -13 z = -13 Simplifying z = -13

Subproblem 2

Set the factor '(2 + z)' equal to zero and attempt to solve: Simplifying 2 + z = 0 Solving 2 + z = 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 + z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z = 0 + -2 z = 0 + -2 Combine like terms: 0 + -2 = -2 z = -2 Simplifying z = -2

Solution

z = {-13, -2}

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