3x*3x+14x+15=0

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Solution for 3x*3x+14x+15=0 equation:


Simplifying
3x * 3x + 14x + 15 = 0

Reorder the terms for easier multiplication:
3 * 3x * x + 14x + 15 = 0

Multiply 3 * 3
9x * x + 14x + 15 = 0

Multiply x * x
9x2 + 14x + 15 = 0

Reorder the terms:
15 + 14x + 9x2 = 0

Solving
15 + 14x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
1.666666667 + 1.555555556x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.555555556x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.555555556x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.555555556x + x2 = 0 + -1.666666667
1.555555556x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.555555556x + x2 = -1.666666667

The x term is 1.555555556x.  Take half its coefficient (0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
1.555555556x + 0.6049382720 + x2 = -1.666666667 + 0.6049382720

Reorder the terms:
0.6049382720 + 1.555555556x + x2 = -1.666666667 + 0.6049382720

Combine like terms: -1.666666667 + 0.6049382720 = -1.061728395
0.6049382720 + 1.555555556x + x2 = -1.061728395

Factor a perfect square on the left side:
(x + 0.777777778)(x + 0.777777778) = -1.061728395

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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