(z^2)+(6z)+10=0

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Solution for (z^2)+(6z)+10=0 equation:


Simplifying
(z2) + (6z) + 10 = 0
z2 + (6z) + 10 = 0

Reorder the terms:
10 + (6z) + z2 = 0

Solving
10 + (6z) + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + (6z) + -10 + z2 = 0 + -10

Reorder the terms:
10 + -10 + (6z) + z2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + (6z) + z2 = 0 + -10
(6z) + z2 = 0 + -10

Combine like terms: 0 + -10 = -10
(6z) + z2 = -10

The z term is (6z).  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
(6z) + 9 + z2 = -10 + 9

Reorder the terms:
9 + (6z) + z2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + (6z) + z2 = -1

Factor a perfect square on the left side:
(z + 3)(z + 3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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