3x^2+5x+5=-2x-15

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Solution for 3x^2+5x+5=-2x-15 equation: 


Simplifying
3x2 + 5x + 5 = -2x + -15

Reorder the terms:
5 + 5x + 3x2 = -2x + -15

Reorder the terms:
5 + 5x + 3x2 = -15 + -2x

Solving
5 + 5x + 3x2 = -15 + -2x

Solving for variable 'x'.

Reorder the terms:
5 + 15 + 5x + 2x + 3x2 = -15 + -2x + 15 + 2x

Combine like terms: 5 + 15 = 20
20 + 5x + 2x + 3x2 = -15 + -2x + 15 + 2x

Combine like terms: 5x + 2x = 7x
20 + 7x + 3x2 = -15 + -2x + 15 + 2x

Reorder the terms:
20 + 7x + 3x2 = -15 + 15 + -2x + 2x

Combine like terms: -15 + 15 = 0
20 + 7x + 3x2 = 0 + -2x + 2x
20 + 7x + 3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 7x + 3x2 = 0

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

Divide each side by '3'.
6.666666667 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 2.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 2.333333333x + x2 = 0 + -6.666666667
2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
2.333333333x + x2 = -6.666666667

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -6.666666667 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -6.666666667 + 1.361111112

Combine like terms: -6.666666667 + 1.361111112 = -5.305555555
1.361111112 + 2.333333333x + x2 = -5.305555555

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -5.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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