7z+19+z^2-8z+5=

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Solution for 7z+19+z^2-8z+5= equation:


Simplifying
7z + 19 + z2 + -8z + 5 = 0

Reorder the terms:
19 + 5 + 7z + -8z + z2 = 0

Combine like terms: 19 + 5 = 24
24 + 7z + -8z + z2 = 0

Combine like terms: 7z + -8z = -1z
24 + -1z + z2 = 0

Solving
24 + -1z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -1z + -24 + z2 = 0 + -24

Reorder the terms:
24 + -24 + -1z + z2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1z + z2 = 0 + -24
-1z + z2 = 0 + -24

Combine like terms: 0 + -24 = -24
-1z + z2 = -24

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 = -24 + 0.25

Reorder the terms:
0.25 + -1z + z2 = -24 + 0.25

Combine like terms: -24 + 0.25 = -23.75
0.25 + -1z + z2 = -23.75

Factor a perfect square on the left side:
(z + -0.5)(z + -0.5) = -23.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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