z^2+16z+64=0

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Solution for z^2+16z+64=0 equation:


Simplifying
z2 + 16z + 64 = 0

Reorder the terms:
64 + 16z + z2 = 0

Solving
64 + 16z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(8 + z)(8 + z) = 0

Subproblem 1

Set the factor '(8 + z)' equal to zero and attempt to solve: Simplifying 8 + z = 0 Solving 8 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + z = 0 + -8 z = 0 + -8 Combine like terms: 0 + -8 = -8 z = -8 Simplifying z = -8

Subproblem 2

Set the factor '(8 + z)' equal to zero and attempt to solve: Simplifying 8 + z = 0 Solving 8 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + z = 0 + -8 z = 0 + -8 Combine like terms: 0 + -8 = -8 z = -8 Simplifying z = -8

Solution

z = {-8, -8}

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