-9z^2-5=-6z

Solution for -9z^2-5=-6z equation:

Simplifying
-9z2 + -5 = -6z

Reorder the terms:
-5 + -9z2 = -6z

Solving
-5 + -9z2 = -6z

Solving for variable 'z'.

Reorder the terms:
-5 + 6z + -9z2 = -6z + 6z

Combine like terms: -6z + 6z = 0
-5 + 6z + -9z2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.5555555556 + -0.6666666667z + z2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + -0.6666666667z + -0.5555555556 + z2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + -0.6666666667z + z2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + -0.6666666667z + z2 = 0 + -0.5555555556
-0.6666666667z + z2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
-0.6666666667z + z2 = -0.5555555556

The z term is -0.6666666667z.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667z + 0.1111111112 + z2 = -0.5555555556 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667z + z2 = -0.5555555556 + 0.1111111112

Combine like terms: -0.5555555556 + 0.1111111112 = -0.4444444444
0.1111111112 + -0.6666666667z + z2 = -0.4444444444

Factor a perfect square on the left side:
(z + -0.3333333334)(z + -0.3333333334) = -0.4444444444

Can't calculate square root of the right side.

The solution to this equation could not be determined.