3(x^2-2x+7)-(-3x^2-5x+6)=

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Solution for 3(x^2-2x+7)-(-3x^2-5x+6)= equation: 


Simplifying
3(x2 + -2x + 7) + -1(-3x2 + -5x + 6) = 0

Reorder the terms:
3(7 + -2x + x2) + -1(-3x2 + -5x + 6) = 0
(7 * 3 + -2x * 3 + x2 * 3) + -1(-3x2 + -5x + 6) = 0
(21 + -6x + 3x2) + -1(-3x2 + -5x + 6) = 0

Reorder the terms:
21 + -6x + 3x2 + -1(6 + -5x + -3x2) = 0
21 + -6x + 3x2 + (6 * -1 + -5x * -1 + -3x2 * -1) = 0
21 + -6x + 3x2 + (-6 + 5x + 3x2) = 0

Reorder the terms:
21 + -6 + -6x + 5x + 3x2 + 3x2 = 0

Combine like terms: 21 + -6 = 15
15 + -6x + 5x + 3x2 + 3x2 = 0

Combine like terms: -6x + 5x = -1x
15 + -1x + 3x2 + 3x2 = 0

Combine like terms: 3x2 + 3x2 = 6x2
15 + -1x + 6x2 = 0

Solving
15 + -1x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.5 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.1666666667x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.1666666667x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.1666666667x + x2 = 0 + -2.5
-0.1666666667x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.1666666667x + x2 = -2.5

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -2.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -2.5 + 0.006944444447

Combine like terms: -2.5 + 0.006944444447 = -2.493055555553
0.006944444447 + -0.1666666667x + x2 = -2.493055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -2.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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