z^2-14z=-58

Solution for z^2-14z=-58 equation:

Simplifying
z2 + -14z = -58

Reorder the terms:
-14z + z2 = -58

Solving
-14z + z2 = -58

Solving for variable 'z'.

Reorder the terms:
58 + -14z + z2 = -58 + 58

Combine like terms: -58 + 58 = 0
58 + -14z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-58' to each side of the equation.
58 + -14z + -58 + z2 = 0 + -58

Reorder the terms:
58 + -58 + -14z + z2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -14z + z2 = 0 + -58
-14z + z2 = 0 + -58

Combine like terms: 0 + -58 = -58
-14z + z2 = -58

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 = -58 + 49

Reorder the terms:
49 + -14z + z2 = -58 + 49

Combine like terms: -58 + 49 = -9
49 + -14z + z2 = -9

Factor a perfect square on the left side:
(z + -7)(z + -7) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.