3x^2+11x-6-15x^2=

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Solution for 3x^2+11x-6-15x^2= equation:


Simplifying
3x2 + 11x + -6 + -15x2 = 0

Reorder the terms:
-6 + 11x + 3x2 + -15x2 = 0

Combine like terms: 3x2 + -15x2 = -12x2
-6 + 11x + -12x2 = 0

Solving
-6 + 11x + -12x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.5 + -0.9166666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.9166666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.9166666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.9166666667x + x2 = 0 + -0.5
-0.9166666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.9166666667x + x2 = -0.5

The x term is -0.9166666667x.  Take half its coefficient (-0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
-0.9166666667x + 0.2100694445 + x2 = -0.5 + 0.2100694445

Reorder the terms:
0.2100694445 + -0.9166666667x + x2 = -0.5 + 0.2100694445

Combine like terms: -0.5 + 0.2100694445 = -0.2899305555
0.2100694445 + -0.9166666667x + x2 = -0.2899305555

Factor a perfect square on the left side:
(x + -0.4583333334)(x + -0.4583333334) = -0.2899305555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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