14.131x^2-241.888x+1573.570=31

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Solution for 14.131x^2-241.888x+1573.570=31 equation: 


Simplifying
14.131x2 + -241.888x + 1573.570 = 31

Reorder the terms:
1573.570 + -241.888x + 14.131x2 = 31

Solving
1573.570 + -241.888x + 14.131x2 = 31

Solving for variable 'x'.

Reorder the terms:
1573.570 + -31 + -241.888x + 14.131x2 = 31 + -31

Combine like terms: 1573.570 + -31 = 1542.57
1542.57 + -241.888x + 14.131x2 = 31 + -31

Combine like terms: 31 + -31 = 0
1542.57 + -241.888x + 14.131x2 = 0

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

Divide each side by '14.131'.
109.1621258 + -17.11754299x + x2 = 0

Move the constant term to the right:

Add '-109.1621258' to each side of the equation.
109.1621258 + -17.11754299x + -109.1621258 + x2 = 0 + -109.1621258

Reorder the terms:
109.1621258 + -109.1621258 + -17.11754299x + x2 = 0 + -109.1621258

Combine like terms: 109.1621258 + -109.1621258 = 0.0000000
0.0000000 + -17.11754299x + x2 = 0 + -109.1621258
-17.11754299x + x2 = 0 + -109.1621258

Combine like terms: 0 + -109.1621258 = -109.1621258
-17.11754299x + x2 = -109.1621258

The x term is -17.11754299x.  Take half its coefficient (-8.558771495).
Square it (73.25256950) and add it to both sides.

Add '73.25256950' to each side of the equation.
-17.11754299x + 73.25256950 + x2 = -109.1621258 + 73.25256950

Reorder the terms:
73.25256950 + -17.11754299x + x2 = -109.1621258 + 73.25256950

Combine like terms: -109.1621258 + 73.25256950 = -35.9095563
73.25256950 + -17.11754299x + x2 = -35.9095563

Factor a perfect square on the left side:
(x + -8.558771495)(x + -8.558771495) = -35.9095563

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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