7z^2+6z+5=0

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Solution for 7z^2+6z+5=0 equation: 


Simplifying
7z2 + 6z + 5 = 0

Reorder the terms:
5 + 6z + 7z2 = 0

Solving
5 + 6z + 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'.
0.7142857143 + 0.8571428571z + z2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + 0.8571428571z + -0.7142857143 + z2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + 0.8571428571z + z2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + 0.8571428571z + z2 = 0 + -0.7142857143
0.8571428571z + z2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
0.8571428571z + z2 = -0.7142857143

The z term is 0.8571428571z.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571z + 0.1836734694 + z2 = -0.7142857143 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571z + z2 = -0.7142857143 + 0.1836734694

Combine like terms: -0.7142857143 + 0.1836734694 = -0.5306122449
0.1836734694 + 0.8571428571z + z2 = -0.5306122449

Factor a perfect square on the left side:
(z + 0.4285714286)(z + 0.4285714286) = -0.5306122449

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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