-7z+9=-7z^2

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Solution for -7z+9=-7z^2 equation:


Simplifying
-7z + 9 = -7z2

Reorder the terms:
9 + -7z = -7z2

Solving
9 + -7z = -7z2

Solving for variable 'z'.

Combine like terms: -7z2 + 7z2 = 0
9 + -7z + 7z2 = 0

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

Divide each side by '7'.
1.285714286 + -1z + z2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -1z + -1.285714286 + z2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -1z + z2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -1z + z2 = 0 + -1.285714286
-1z + z2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-1z + z2 = -1.285714286

The z term is -1z.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1z + 0.25 + z2 = -1.285714286 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -1.285714286 + 0.25

Combine like terms: -1.285714286 + 0.25 = -1.035714286
0.25 + -1z + z2 = -1.035714286

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -1.035714286

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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