60=8.18x^2-536.46x+9041.8

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Solution for 60=8.18x^2-536.46x+9041.8 equation: 


Simplifying
60 = 8.18x2 + -536.46x + 9041.8

Reorder the terms:
60 = 9041.8 + -536.46x + 8.18x2

Solving
60 = 9041.8 + -536.46x + 8.18x2

Solving for variable 'x'.

Combine like terms: 60 + -9041.8 = -8981.8
-8981.8 + 536.46x + -8.18x2 = 9041.8 + -536.46x + 8.18x2 + -9041.8 + 536.46x + -8.18x2

Reorder the terms:
-8981.8 + 536.46x + -8.18x2 = 9041.8 + -9041.8 + -536.46x + 536.46x + 8.18x2 + -8.18x2

Combine like terms: 9041.8 + -9041.8 = 0.0
-8981.8 + 536.46x + -8.18x2 = 0.0 + -536.46x + 536.46x + 8.18x2 + -8.18x2
-8981.8 + 536.46x + -8.18x2 = -536.46x + 536.46x + 8.18x2 + -8.18x2

Combine like terms: -536.46x + 536.46x = 0.00
-8981.8 + 536.46x + -8.18x2 = 0.00 + 8.18x2 + -8.18x2
-8981.8 + 536.46x + -8.18x2 = 8.18x2 + -8.18x2

Combine like terms: 8.18x2 + -8.18x2 = 0.00
-8981.8 + 536.46x + -8.18x2 = 0.00

Begin completing the square.  Divide all terms by
-8.18 the coefficient of the squared term: 

Divide each side by '-8.18'.
1098.01956 + -65.58190709x + x2 = 0

Move the constant term to the right:

Add '-1098.01956' to each side of the equation.
1098.01956 + -65.58190709x + -1098.01956 + x2 = 0 + -1098.01956

Reorder the terms:
1098.01956 + -1098.01956 + -65.58190709x + x2 = 0 + -1098.01956

Combine like terms: 1098.01956 + -1098.01956 = 0.00000
0.00000 + -65.58190709x + x2 = 0 + -1098.01956
-65.58190709x + x2 = 0 + -1098.01956

Combine like terms: 0 + -1098.01956 = -1098.01956
-65.58190709x + x2 = -1098.01956

The x term is -65.58190709x.  Take half its coefficient (-32.79095355).
Square it (1075.246635) and add it to both sides.

Add '1075.246635' to each side of the equation.
-65.58190709x + 1075.246635 + x2 = -1098.01956 + 1075.246635

Reorder the terms:
1075.246635 + -65.58190709x + x2 = -1098.01956 + 1075.246635

Combine like terms: -1098.01956 + 1075.246635 = -22.772925
1075.246635 + -65.58190709x + x2 = -22.772925

Factor a perfect square on the left side:
(x + -32.79095355)(x + -32.79095355) = -22.772925

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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