15x^2+14x+7=0

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Solution for 15x^2+14x+7=0 equation:


Simplifying
15x2 + 14x + 7 = 0

Reorder the terms:
7 + 14x + 15x2 = 0

Solving
7 + 14x + 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'.
0.4666666667 + 0.9333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + 0.9333333333x + -0.4666666667 + x2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + 0.9333333333x + x2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + 0.9333333333x + x2 = 0 + -0.4666666667
0.9333333333x + x2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
0.9333333333x + x2 = -0.4666666667

The x term is 0.9333333333x.  Take half its coefficient (0.4666666667).
Square it (0.2177777778) and add it to both sides.

Add '0.2177777778' to each side of the equation.
0.9333333333x + 0.2177777778 + x2 = -0.4666666667 + 0.2177777778

Reorder the terms:
0.2177777778 + 0.9333333333x + x2 = -0.4666666667 + 0.2177777778

Combine like terms: -0.4666666667 + 0.2177777778 = -0.2488888889
0.2177777778 + 0.9333333333x + x2 = -0.2488888889

Factor a perfect square on the left side:
(x + 0.4666666667)(x + 0.4666666667) = -0.2488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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