15x-6x^2=12x-14x^2-2

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Solution for 15x-6x^2=12x-14x^2-2 equation: 


Simplifying
15x + -6x2 = 12x + -14x2 + -2

Reorder the terms:
15x + -6x2 = -2 + 12x + -14x2

Solving
15x + -6x2 = -2 + 12x + -14x2

Solving for variable 'x'.

Reorder the terms:
2 + 15x + -12x + -6x2 + 14x2 = -2 + 12x + -14x2 + 2 + -12x + 14x2

Combine like terms: 15x + -12x = 3x
2 + 3x + -6x2 + 14x2 = -2 + 12x + -14x2 + 2 + -12x + 14x2

Combine like terms: -6x2 + 14x2 = 8x2
2 + 3x + 8x2 = -2 + 12x + -14x2 + 2 + -12x + 14x2

Reorder the terms:
2 + 3x + 8x2 = -2 + 2 + 12x + -12x + -14x2 + 14x2

Combine like terms: -2 + 2 = 0
2 + 3x + 8x2 = 0 + 12x + -12x + -14x2 + 14x2
2 + 3x + 8x2 = 12x + -12x + -14x2 + 14x2

Combine like terms: 12x + -12x = 0
2 + 3x + 8x2 = 0 + -14x2 + 14x2
2 + 3x + 8x2 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
2 + 3x + 8x2 = 0

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

Divide each side by '8'.
0.25 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.375x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.375x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.375x + x2 = 0 + -0.25
0.375x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.375x + x2 = -0.25

The x term is 0.375x.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375x + 0.03515625 + x2 = -0.25 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -0.25 + 0.03515625

Combine like terms: -0.25 + 0.03515625 = -0.21484375
0.03515625 + 0.375x + x2 = -0.21484375

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -0.21484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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