5x^2-42x+184=0

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Solution for 5x^2-42x+184=0 equation:


Simplifying
5x2 + -42x + 184 = 0

Reorder the terms:
184 + -42x + 5x2 = 0

Solving
184 + -42x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
36.8 + -8.4x + x2 = 0

Move the constant term to the right:

Add '-36.8' to each side of the equation.
36.8 + -8.4x + -36.8 + x2 = 0 + -36.8

Reorder the terms:
36.8 + -36.8 + -8.4x + x2 = 0 + -36.8

Combine like terms: 36.8 + -36.8 = 0.0
0.0 + -8.4x + x2 = 0 + -36.8
-8.4x + x2 = 0 + -36.8

Combine like terms: 0 + -36.8 = -36.8
-8.4x + x2 = -36.8

The x term is -8.4x.  Take half its coefficient (-4.2).
Square it (17.64) and add it to both sides.

Add '17.64' to each side of the equation.
-8.4x + 17.64 + x2 = -36.8 + 17.64

Reorder the terms:
17.64 + -8.4x + x2 = -36.8 + 17.64

Combine like terms: -36.8 + 17.64 = -19.16
17.64 + -8.4x + x2 = -19.16

Factor a perfect square on the left side:
(x + -4.2)(x + -4.2) = -19.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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