(z+5)(z+5)=-10

Solution for (z+5)(z+5)=-10 equation:

Simplifying
(z + 5)(z + 5) = -10

Reorder the terms:
(5 + z)(z + 5) = -10

Reorder the terms:
(5 + z)(5 + z) = -10

Multiply (5 + z) * (5 + z)
(5(5 + z) + z(5 + z)) = -10
((5 * 5 + z * 5) + z(5 + z)) = -10
((25 + 5z) + z(5 + z)) = -10
(25 + 5z + (5 * z + z * z)) = -10
(25 + 5z + (5z + z2)) = -10

Combine like terms: 5z + 5z = 10z
(25 + 10z + z2) = -10

Solving
25 + 10z + z2 = -10

Solving for variable 'z'.

Reorder the terms:
25 + 10 + 10z + z2 = -10 + 10

Combine like terms: 25 + 10 = 35
35 + 10z + z2 = -10 + 10

Combine like terms: -10 + 10 = 0
35 + 10z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 10z + -35 + z2 = 0 + -35

Reorder the terms:
35 + -35 + 10z + z2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 10z + z2 = 0 + -35
10z + z2 = 0 + -35

Combine like terms: 0 + -35 = -35
10z + z2 = -35

The z term is 10z.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10z + 25 + z2 = -35 + 25

Reorder the terms:
25 + 10z + z2 = -35 + 25

Combine like terms: -35 + 25 = -10
25 + 10z + z2 = -10

Factor a perfect square on the left side:
(z + 5)(z + 5) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.