37x^2-3x+88=0

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Solution for 37x^2-3x+88=0 equation:


Simplifying
37x2 + -3x + 88 = 0

Reorder the terms:
88 + -3x + 37x2 = 0

Solving
88 + -3x + 37x2 = 0

Solving for variable 'x'.

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

Divide each side by '37'.
2.378378378 + -0.08108108108x + x2 = 0

Move the constant term to the right:

Add '-2.378378378' to each side of the equation.
2.378378378 + -0.08108108108x + -2.378378378 + x2 = 0 + -2.378378378

Reorder the terms:
2.378378378 + -2.378378378 + -0.08108108108x + x2 = 0 + -2.378378378

Combine like terms: 2.378378378 + -2.378378378 = 0.000000000
0.000000000 + -0.08108108108x + x2 = 0 + -2.378378378
-0.08108108108x + x2 = 0 + -2.378378378

Combine like terms: 0 + -2.378378378 = -2.378378378
-0.08108108108x + x2 = -2.378378378

The x term is -0.08108108108x.  Take half its coefficient (-0.04054054054).
Square it (0.001643535427) and add it to both sides.

Add '0.001643535427' to each side of the equation.
-0.08108108108x + 0.001643535427 + x2 = -2.378378378 + 0.001643535427

Reorder the terms:
0.001643535427 + -0.08108108108x + x2 = -2.378378378 + 0.001643535427

Combine like terms: -2.378378378 + 0.001643535427 = -2.376734842573
0.001643535427 + -0.08108108108x + x2 = -2.376734842573

Factor a perfect square on the left side:
(x + -0.04054054054)(x + -0.04054054054) = -2.376734842573

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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