36x^2+29x+20=0

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Solution for 36x^2+29x+20=0 equation: 


Simplifying
36x2 + 29x + 20 = 0

Reorder the terms:
20 + 29x + 36x2 = 0

Solving
20 + 29x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
0.5555555556 + 0.8055555556x + x2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + 0.8055555556x + -0.5555555556 + x2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + 0.8055555556x + x2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + 0.8055555556x + x2 = 0 + -0.5555555556
0.8055555556x + x2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
0.8055555556x + x2 = -0.5555555556

The x term is 0.8055555556x.  Take half its coefficient (0.4027777778).
Square it (0.1622299383) and add it to both sides.

Add '0.1622299383' to each side of the equation.
0.8055555556x + 0.1622299383 + x2 = -0.5555555556 + 0.1622299383

Reorder the terms:
0.1622299383 + 0.8055555556x + x2 = -0.5555555556 + 0.1622299383

Combine like terms: -0.5555555556 + 0.1622299383 = -0.3933256173
0.1622299383 + 0.8055555556x + x2 = -0.3933256173

Factor a perfect square on the left side:
(x + 0.4027777778)(x + 0.4027777778) = -0.3933256173

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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