5x^2+36x+66=0

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Solution for 5x^2+36x+66=0 equation:


Simplifying
5x2 + 36x + 66 = 0

Reorder the terms:
66 + 36x + 5x2 = 0

Solving
66 + 36x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
13.2 + 7.2x + x2 = 0

Move the constant term to the right:

Add '-13.2' to each side of the equation.
13.2 + 7.2x + -13.2 + x2 = 0 + -13.2

Reorder the terms:
13.2 + -13.2 + 7.2x + x2 = 0 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + 7.2x + x2 = 0 + -13.2
7.2x + x2 = 0 + -13.2

Combine like terms: 0 + -13.2 = -13.2
7.2x + x2 = -13.2

The x term is 7.2x.  Take half its coefficient (3.6).
Square it (12.96) and add it to both sides.

Add '12.96' to each side of the equation.
7.2x + 12.96 + x2 = -13.2 + 12.96

Reorder the terms:
12.96 + 7.2x + x2 = -13.2 + 12.96

Combine like terms: -13.2 + 12.96 = -0.24
12.96 + 7.2x + x2 = -0.24

Factor a perfect square on the left side:
(x + 3.6)(x + 3.6) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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