37x^2+1=12x

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Solution for 37x^2+1=12x equation:


Simplifying
37x2 + 1 = 12x

Reorder the terms:
1 + 37x2 = 12x

Solving
1 + 37x2 = 12x

Solving for variable 'x'.

Reorder the terms:
1 + -12x + 37x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -12x + 37x2 = 0

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

Divide each side by '37'.
0.02702702703 + -0.3243243243x + x2 = 0

Move the constant term to the right:

Add '-0.02702702703' to each side of the equation.
0.02702702703 + -0.3243243243x + -0.02702702703 + x2 = 0 + -0.02702702703

Reorder the terms:
0.02702702703 + -0.02702702703 + -0.3243243243x + x2 = 0 + -0.02702702703

Combine like terms: 0.02702702703 + -0.02702702703 = 0.00000000000
0.00000000000 + -0.3243243243x + x2 = 0 + -0.02702702703
-0.3243243243x + x2 = 0 + -0.02702702703

Combine like terms: 0 + -0.02702702703 = -0.02702702703
-0.3243243243x + x2 = -0.02702702703

The x term is -0.3243243243x.  Take half its coefficient (-0.1621621622).
Square it (0.02629656685) and add it to both sides.

Add '0.02629656685' to each side of the equation.
-0.3243243243x + 0.02629656685 + x2 = -0.02702702703 + 0.02629656685

Reorder the terms:
0.02629656685 + -0.3243243243x + x2 = -0.02702702703 + 0.02629656685

Combine like terms: -0.02702702703 + 0.02629656685 = -0.00073046018
0.02629656685 + -0.3243243243x + x2 = -0.00073046018

Factor a perfect square on the left side:
(x + -0.1621621622)(x + -0.1621621622) = -0.00073046018

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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