15x^2+26x+35=0

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Solution for 15x^2+26x+35=0 equation:


Simplifying
15x2 + 26x + 35 = 0

Reorder the terms:
35 + 26x + 15x2 = 0

Solving
35 + 26x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
2.333333333 + 1.733333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 1.733333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 1.733333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 1.733333333x + x2 = 0 + -2.333333333
1.733333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
1.733333333x + x2 = -2.333333333

The x term is 1.733333333x.  Take half its coefficient (0.8666666665).
Square it (0.7511111108) and add it to both sides.

Add '0.7511111108' to each side of the equation.
1.733333333x + 0.7511111108 + x2 = -2.333333333 + 0.7511111108

Reorder the terms:
0.7511111108 + 1.733333333x + x2 = -2.333333333 + 0.7511111108

Combine like terms: -2.333333333 + 0.7511111108 = -1.5822222222
0.7511111108 + 1.733333333x + x2 = -1.5822222222

Factor a perfect square on the left side:
(x + 0.8666666665)(x + 0.8666666665) = -1.5822222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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