4(z-2)*z=-13

Solution for 4(z-2)*z=-13 equation:

Simplifying
4(z + -2) * z = -13

Reorder the terms:
4(-2 + z) * z = -13

Reorder the terms for easier multiplication:
4z(-2 + z) = -13
(-2 * 4z + z * 4z) = -13
(-8z + 4z2) = -13

Solving
-8z + 4z2 = -13

Solving for variable 'z'.

Reorder the terms:
13 + -8z + 4z2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + -8z + 4z2 = 0

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

Divide each side by '4'.
3.25 + -2z + z2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + -2z + -3.25 + z2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + -2z + z2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -2z + z2 = 0 + -3.25
-2z + z2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
-2z + z2 = -3.25

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 = -3.25 + 1

Reorder the terms:
1 + -2z + z2 = -3.25 + 1

Combine like terms: -3.25 + 1 = -2.25
1 + -2z + z2 = -2.25

Factor a perfect square on the left side:
(z + -1)(z + -1) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.