3x^2+20x+36=0

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Solution for 3x^2+20x+36=0 equation:


Simplifying
3x2 + 20x + 36 = 0

Reorder the terms:
36 + 20x + 3x2 = 0

Solving
36 + 20x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
12 + 6.666666667x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 6.666666667x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 6.666666667x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 6.666666667x + x2 = 0 + -12
6.666666667x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
6.666666667x + x2 = -12

The x term is 6.666666667x.  Take half its coefficient (3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
6.666666667x + 11.11111112 + x2 = -12 + 11.11111112

Reorder the terms:
11.11111112 + 6.666666667x + x2 = -12 + 11.11111112

Combine like terms: -12 + 11.11111112 = -0.88888888
11.11111112 + 6.666666667x + x2 = -0.88888888

Factor a perfect square on the left side:
(x + 3.333333334)(x + 3.333333334) = -0.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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