Solve z^2 + 8z + 12 = 0

Evaluate

z^{2} + 8 z + 12 = 0

Factor the expression

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(z + 2) (z + 6) = 0

When the product of factors equals 0,at least one factor is 0

z + 2 = 0 z + 6 = 0

Solve the equation for z

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z = - 2 z + 6 = 0

Solve the equation for z

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z = - 2 z = - 6

Solution

z_{1} = - 6, z_{2} = - 2

Z^2 + 8z + 12 = 0