35k^2-22k+7=-4

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Solution for 35k^2-22k+7=-4 equation:


Simplifying
35k2 + -22k + 7 = -4

Reorder the terms:
7 + -22k + 35k2 = -4

Solving
7 + -22k + 35k2 = -4

Solving for variable 'k'.

Reorder the terms:
7 + 4 + -22k + 35k2 = -4 + 4

Combine like terms: 7 + 4 = 11
11 + -22k + 35k2 = -4 + 4

Combine like terms: -4 + 4 = 0
11 + -22k + 35k2 = 0

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

Divide each side by '35'.
0.3142857143 + -0.6285714286k + k2 = 0

Move the constant term to the right:

Add '-0.3142857143' to each side of the equation.
0.3142857143 + -0.6285714286k + -0.3142857143 + k2 = 0 + -0.3142857143

Reorder the terms:
0.3142857143 + -0.3142857143 + -0.6285714286k + k2 = 0 + -0.3142857143

Combine like terms: 0.3142857143 + -0.3142857143 = 0.0000000000
0.0000000000 + -0.6285714286k + k2 = 0 + -0.3142857143
-0.6285714286k + k2 = 0 + -0.3142857143

Combine like terms: 0 + -0.3142857143 = -0.3142857143
-0.6285714286k + k2 = -0.3142857143

The k term is -0.6285714286k.  Take half its coefficient (-0.3142857143).
Square it (0.09877551021) and add it to both sides.

Add '0.09877551021' to each side of the equation.
-0.6285714286k + 0.09877551021 + k2 = -0.3142857143 + 0.09877551021

Reorder the terms:
0.09877551021 + -0.6285714286k + k2 = -0.3142857143 + 0.09877551021

Combine like terms: -0.3142857143 + 0.09877551021 = -0.21551020409
0.09877551021 + -0.6285714286k + k2 = -0.21551020409

Factor a perfect square on the left side:
(k + -0.3142857143)(k + -0.3142857143) = -0.21551020409

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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