z^2-14z+49=-196

Solution for z^2-14z+49=-196 equation:

Simplifying
z2 + -14z + 49 = -196

Reorder the terms:
49 + -14z + z2 = -196

Solving
49 + -14z + z2 = -196

Solving for variable 'z'.

Reorder the terms:
49 + 196 + -14z + z2 = -196 + 196

Combine like terms: 49 + 196 = 245
245 + -14z + z2 = -196 + 196

Combine like terms: -196 + 196 = 0
245 + -14z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-245' to each side of the equation.
245 + -14z + -245 + z2 = 0 + -245

Reorder the terms:
245 + -245 + -14z + z2 = 0 + -245

Combine like terms: 245 + -245 = 0
0 + -14z + z2 = 0 + -245
-14z + z2 = 0 + -245

Combine like terms: 0 + -245 = -245
-14z + z2 = -245

The z term is -14z.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14z + 49 + z2 = -245 + 49

Reorder the terms:
49 + -14z + z2 = -245 + 49

Combine like terms: -245 + 49 = -196
49 + -14z + z2 = -196

Factor a perfect square on the left side:
(z + -7)(z + -7) = -196

Can't calculate square root of the right side.

The solution to this equation could not be determined.