0=-3x^2-2x-15

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Solution for 0=-3x^2-2x-15 equation: 


Simplifying
0 = -3x2 + -2x + -15

Reorder the terms:
0 = -15 + -2x + -3x2

Solving
0 = -15 + -2x + -3x2

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '3'.
5 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 0.6666666667x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 0.6666666667x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 0.6666666667x + x2 = 0 + -5
0.6666666667x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
0.6666666667x + x2 = -5

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -5 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -5 + 0.1111111112

Combine like terms: -5 + 0.1111111112 = -4.8888888888
0.1111111112 + 0.6666666667x + x2 = -4.8888888888

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -4.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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