(z+1)(z+1)=-9

Solution for (z+1)(z+1)=-9 equation:

Simplifying
(z + 1)(z + 1) = -9

Reorder the terms:
(1 + z)(z + 1) = -9

Reorder the terms:
(1 + z)(1 + z) = -9

Multiply (1 + z) * (1 + z)
(1(1 + z) + z(1 + z)) = -9
((1 * 1 + z * 1) + z(1 + z)) = -9
((1 + 1z) + z(1 + z)) = -9
(1 + 1z + (1 * z + z * z)) = -9
(1 + 1z + (1z + z2)) = -9

Combine like terms: 1z + 1z = 2z
(1 + 2z + z2) = -9

Solving
1 + 2z + z2 = -9

Solving for variable 'z'.

Reorder the terms:
1 + 9 + 2z + z2 = -9 + 9

Combine like terms: 1 + 9 = 10
10 + 2z + z2 = -9 + 9

Combine like terms: -9 + 9 = 0
10 + 2z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 2z + -10 + z2 = 0 + -10

Reorder the terms:
10 + -10 + 2z + z2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2z + z2 = 0 + -10
2z + z2 = 0 + -10

Combine like terms: 0 + -10 = -10
2z + z2 = -10

The z term is 2z.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2z + 1 + z2 = -10 + 1

Reorder the terms:
1 + 2z + z2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + 2z + z2 = -9

Factor a perfect square on the left side:
(z + 1)(z + 1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.