37x^2-720x+3600=20

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Solution for 37x^2-720x+3600=20 equation:


Simplifying
37x2 + -720x + 3600 = 20

Reorder the terms:
3600 + -720x + 37x2 = 20

Solving
3600 + -720x + 37x2 = 20

Solving for variable 'x'.

Reorder the terms:
3600 + -20 + -720x + 37x2 = 20 + -20

Combine like terms: 3600 + -20 = 3580
3580 + -720x + 37x2 = 20 + -20

Combine like terms: 20 + -20 = 0
3580 + -720x + 37x2 = 0

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

Divide each side by '37'.
96.75675676 + -19.45945946x + x2 = 0

Move the constant term to the right:

Add '-96.75675676' to each side of the equation.
96.75675676 + -19.45945946x + -96.75675676 + x2 = 0 + -96.75675676

Reorder the terms:
96.75675676 + -96.75675676 + -19.45945946x + x2 = 0 + -96.75675676

Combine like terms: 96.75675676 + -96.75675676 = 0.00000000
0.00000000 + -19.45945946x + x2 = 0 + -96.75675676
-19.45945946x + x2 = 0 + -96.75675676

Combine like terms: 0 + -96.75675676 = -96.75675676
-19.45945946x + x2 = -96.75675676

The x term is -19.45945946x.  Take half its coefficient (-9.72972973).
Square it (94.66764062) and add it to both sides.

Add '94.66764062' to each side of the equation.
-19.45945946x + 94.66764062 + x2 = -96.75675676 + 94.66764062

Reorder the terms:
94.66764062 + -19.45945946x + x2 = -96.75675676 + 94.66764062

Combine like terms: -96.75675676 + 94.66764062 = -2.08911614
94.66764062 + -19.45945946x + x2 = -2.08911614

Factor a perfect square on the left side:
(x + -9.72972973)(x + -9.72972973) = -2.08911614

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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