15x^2+7x+2=0

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


Simplifying
15x2 + 7x + 2 = 0

Reorder the terms:
2 + 7x + 15x2 = 0

Solving
2 + 7x + 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'.
0.1333333333 + 0.4666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + 0.4666666667x + -0.1333333333 + x2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + 0.4666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + 0.4666666667x + x2 = 0 + -0.1333333333
0.4666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
0.4666666667x + x2 = -0.1333333333

The x term is 0.4666666667x.  Take half its coefficient (0.2333333334).
Square it (0.05444444448) and add it to both sides.

Add '0.05444444448' to each side of the equation.
0.4666666667x + 0.05444444448 + x2 = -0.1333333333 + 0.05444444448

Reorder the terms:
0.05444444448 + 0.4666666667x + x2 = -0.1333333333 + 0.05444444448

Combine like terms: -0.1333333333 + 0.05444444448 = -0.07888888882
0.05444444448 + 0.4666666667x + x2 = -0.07888888882

Factor a perfect square on the left side:
(x + 0.2333333334)(x + 0.2333333334) = -0.07888888882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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