25(z+2)(z+2)-35=-36

Solution for 25(z+2)(z+2)-35=-36 equation:

Simplifying
25(z + 2)(z + 2) + -35 = -36

Reorder the terms:
25(2 + z)(z + 2) + -35 = -36

Reorder the terms:
25(2 + z)(2 + z) + -35 = -36

Multiply (2 + z) * (2 + z)
25(2(2 + z) + z(2 + z)) + -35 = -36
25((2 * 2 + z * 2) + z(2 + z)) + -35 = -36
25((4 + 2z) + z(2 + z)) + -35 = -36
25(4 + 2z + (2 * z + z * z)) + -35 = -36
25(4 + 2z + (2z + z2)) + -35 = -36

Combine like terms: 2z + 2z = 4z
25(4 + 4z + z2) + -35 = -36
(4 * 25 + 4z * 25 + z2 * 25) + -35 = -36
(100 + 100z + 25z2) + -35 = -36

Reorder the terms:
100 + -35 + 100z + 25z2 = -36

Combine like terms: 100 + -35 = 65
65 + 100z + 25z2 = -36

Solving
65 + 100z + 25z2 = -36

Solving for variable 'z'.

Reorder the terms:
65 + 36 + 100z + 25z2 = -36 + 36

Combine like terms: 65 + 36 = 101
101 + 100z + 25z2 = -36 + 36

Combine like terms: -36 + 36 = 0
101 + 100z + 25z2 = 0

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
4.04 + 4z + z2 = 0

Move the constant term to the right:

Add '-4.04' to each side of the equation.
4.04 + 4z + -4.04 + z2 = 0 + -4.04

Reorder the terms:
4.04 + -4.04 + 4z + z2 = 0 + -4.04

Combine like terms: 4.04 + -4.04 = 0.00
0.00 + 4z + z2 = 0 + -4.04
4z + z2 = 0 + -4.04

Combine like terms: 0 + -4.04 = -4.04
4z + z2 = -4.04

The z term is 4z.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4z + 4 + z2 = -4.04 + 4

Reorder the terms:
4 + 4z + z2 = -4.04 + 4

Combine like terms: -4.04 + 4 = -0.04
4 + 4z + z2 = -0.04

Factor a perfect square on the left side:
(z + 2)(z + 2) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.