-z(z-7)+7z^2+5=

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Solution for -z(z-7)+7z^2+5= equation: 


Simplifying
-1z(z + -7) + 7z2 + 5 = 0

Reorder the terms:
-1z(-7 + z) + 7z2 + 5 = 0
(-7 * -1z + z * -1z) + 7z2 + 5 = 0
(7z + -1z2) + 7z2 + 5 = 0

Reorder the terms:
5 + 7z + -1z2 + 7z2 = 0

Combine like terms: -1z2 + 7z2 = 6z2
5 + 7z + 6z2 = 0

Solving
5 + 7z + 6z2 = 0

Solving for variable 'z'.

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

Divide each side by '6'.
0.8333333333 + 1.166666667z + z2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 1.166666667z + -0.8333333333 + z2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 1.166666667z + z2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 1.166666667z + z2 = 0 + -0.8333333333
1.166666667z + z2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
1.166666667z + z2 = -0.8333333333

The z term is 1.166666667z.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667z + 0.3402777780 + z2 = -0.8333333333 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667z + z2 = -0.8333333333 + 0.3402777780

Combine like terms: -0.8333333333 + 0.3402777780 = -0.4930555553
0.3402777780 + 1.166666667z + z2 = -0.4930555553

Factor a perfect square on the left side:
(z + 0.5833333335)(z + 0.5833333335) = -0.4930555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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