(3x^2+2x-6)+(2x^2-4x+7)=

Solution for (3x^2+2x-6)+(2x^2-4x+7)= equation:

Simplifying
(3x2 + 2x + -6) + (2x2 + -4x + 7) = 0

Reorder the terms:
(-6 + 2x + 3x2) + (2x2 + -4x + 7) = 0

Remove parenthesis around (-6 + 2x + 3x2)
-6 + 2x + 3x2 + (2x2 + -4x + 7) = 0

Reorder the terms:
-6 + 2x + 3x2 + (7 + -4x + 2x2) = 0

Remove parenthesis around (7 + -4x + 2x2)
-6 + 2x + 3x2 + 7 + -4x + 2x2 = 0

Reorder the terms:
-6 + 7 + 2x + -4x + 3x2 + 2x2 = 0

Combine like terms: -6 + 7 = 1
1 + 2x + -4x + 3x2 + 2x2 = 0

Combine like terms: 2x + -4x = -2x
1 + -2x + 3x2 + 2x2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
1 + -2x + 5x2 = 0

Solving
1 + -2x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.2 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.4x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.4x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4x + x2 = 0 + -0.2
-0.4x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.4x + x2 = -0.2

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.2 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + -0.4x + x2 = -0.16

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.