7z^2-12z+20=

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Solution for 7z^2-12z+20= equation:


Simplifying
7z2 + -12z + 20 = 0

Reorder the terms:
20 + -12z + 7z2 = 0

Solving
20 + -12z + 7z2 = 0

Solving for variable 'z'.

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

Divide each side by '7'.
2.857142857 + -1.714285714z + z2 = 0

Move the constant term to the right:

Add '-2.857142857' to each side of the equation.
2.857142857 + -1.714285714z + -2.857142857 + z2 = 0 + -2.857142857

Reorder the terms:
2.857142857 + -2.857142857 + -1.714285714z + z2 = 0 + -2.857142857

Combine like terms: 2.857142857 + -2.857142857 = 0.000000000
0.000000000 + -1.714285714z + z2 = 0 + -2.857142857
-1.714285714z + z2 = 0 + -2.857142857

Combine like terms: 0 + -2.857142857 = -2.857142857
-1.714285714z + z2 = -2.857142857

The z term is -1.714285714z.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714z + 0.7346938773 + z2 = -2.857142857 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714z + z2 = -2.857142857 + 0.7346938773

Combine like terms: -2.857142857 + 0.7346938773 = -2.1224489797
0.7346938773 + -1.714285714z + z2 = -2.1224489797

Factor a perfect square on the left side:
(z + -0.857142857)(z + -0.857142857) = -2.1224489797

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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