15x^2+5-5x=2

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Solution for 15x^2+5-5x=2 equation:


Simplifying
15x2 + 5 + -5x = 2

Reorder the terms:
5 + -5x + 15x2 = 2

Solving
5 + -5x + 15x2 = 2

Solving for variable 'x'.

Reorder the terms:
5 + -2 + -5x + 15x2 = 2 + -2

Combine like terms: 5 + -2 = 3
3 + -5x + 15x2 = 2 + -2

Combine like terms: 2 + -2 = 0
3 + -5x + 15x2 = 0

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

Divide each side by '15'.
0.2 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.3333333333x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.3333333333x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.3333333333x + x2 = 0 + -0.2
-0.3333333333x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.3333333333x + x2 = -0.2

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.2 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.2 + 0.02777777779

Combine like terms: -0.2 + 0.02777777779 = -0.17222222221
0.02777777779 + -0.3333333333x + x2 = -0.17222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.17222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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