7x^2+6x+8=2x^2-8

Solution for 7x^2+6x+8=2x^2-8 equation:

Simplifying
7x2 + 6x + 8 = 2x2 + -8

Reorder the terms:
8 + 6x + 7x2 = 2x2 + -8

Reorder the terms:
8 + 6x + 7x2 = -8 + 2x2

Solving
8 + 6x + 7x2 = -8 + 2x2

Solving for variable 'x'.

Reorder the terms:
8 + 8 + 6x + 7x2 + -2x2 = -8 + 2x2 + 8 + -2x2

Combine like terms: 8 + 8 = 16
16 + 6x + 7x2 + -2x2 = -8 + 2x2 + 8 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
16 + 6x + 5x2 = -8 + 2x2 + 8 + -2x2

Reorder the terms:
16 + 6x + 5x2 = -8 + 8 + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
16 + 6x + 5x2 = 0 + 2x2 + -2x2
16 + 6x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
16 + 6x + 5x2 = 0

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

Divide each side by '5'.
3.2 + 1.2x + x2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + 1.2x + -3.2 + x2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + 1.2x + x2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.2x + x2 = 0 + -3.2
1.2x + x2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
1.2x + x2 = -3.2

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = -3.2 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = -3.2 + 0.36

Combine like terms: -3.2 + 0.36 = -2.84
0.36 + 1.2x + x2 = -2.84

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = -2.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.