(2-z)z=742

Solution for (2-z)z=742 equation:

Simplifying
(2 + -1z) * z = 742

Reorder the terms for easier multiplication:
z(2 + -1z) = 742
(2 * z + -1z * z) = 742
(2z + -1z2) = 742

Solving
2z + -1z2 = 742

Solving for variable 'z'.

Reorder the terms:
-742 + 2z + -1z2 = 742 + -742

Combine like terms: 742 + -742 = 0
-742 + 2z + -1z2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
742 + -2z + z2 = 0

Move the constant term to the right:

Add '-742' to each side of the equation.
742 + -2z + -742 + z2 = 0 + -742

Reorder the terms:
742 + -742 + -2z + z2 = 0 + -742

Combine like terms: 742 + -742 = 0
0 + -2z + z2 = 0 + -742
-2z + z2 = 0 + -742

Combine like terms: 0 + -742 = -742
-2z + z2 = -742

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 = -742 + 1

Reorder the terms:
1 + -2z + z2 = -742 + 1

Combine like terms: -742 + 1 = -741
1 + -2z + z2 = -741

Factor a perfect square on the left side:
(z + -1)(z + -1) = -741

Can't calculate square root of the right side.

The solution to this equation could not be determined.