2x^2+12x^2+13x+15=0

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Solution for 2x^2+12x^2+13x+15=0 equation:


Simplifying
2x2 + 12x2 + 13x + 15 = 0

Reorder the terms:
15 + 13x + 2x2 + 12x2 = 0

Combine like terms: 2x2 + 12x2 = 14x2
15 + 13x + 14x2 = 0

Solving
15 + 13x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
1.071428571 + 0.9285714286x + x2 = 0

Move the constant term to the right:

Add '-1.071428571' to each side of the equation.
1.071428571 + 0.9285714286x + -1.071428571 + x2 = 0 + -1.071428571

Reorder the terms:
1.071428571 + -1.071428571 + 0.9285714286x + x2 = 0 + -1.071428571

Combine like terms: 1.071428571 + -1.071428571 = 0.000000000
0.000000000 + 0.9285714286x + x2 = 0 + -1.071428571
0.9285714286x + x2 = 0 + -1.071428571

Combine like terms: 0 + -1.071428571 = -1.071428571
0.9285714286x + x2 = -1.071428571

The x term is 0.9285714286x.  Take half its coefficient (0.4642857143).
Square it (0.2155612245) and add it to both sides.

Add '0.2155612245' to each side of the equation.
0.9285714286x + 0.2155612245 + x2 = -1.071428571 + 0.2155612245

Reorder the terms:
0.2155612245 + 0.9285714286x + x2 = -1.071428571 + 0.2155612245

Combine like terms: -1.071428571 + 0.2155612245 = -0.8558673465
0.2155612245 + 0.9285714286x + x2 = -0.8558673465

Factor a perfect square on the left side:
(x + 0.4642857143)(x + 0.4642857143) = -0.8558673465

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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