6+8x(x+2)=6x

Solution for 6+8x(x+2)=6x equation:

Simplifying
6 + 8x(x + 2) = 6x

Reorder the terms:
6 + 8x(2 + x) = 6x
6 + (2 * 8x + x * 8x) = 6x
6 + (16x + 8x2) = 6x

Solving
6 + 16x + 8x2 = 6x

Solving for variable 'x'.

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

Combine like terms: 16x + -6x = 10x
6 + 10x + 8x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 10x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 5x + 4x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 5x + 4x2)' equal to zero and attempt to solve:

Simplifying
3 + 5x + 4x2 = 0

Solving
3 + 5x + 4x2 = 0

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

Divide each side by '4'.
0.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 1.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 1.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 1.25x + x2 = 0 + -0.75
1.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
1.25x + x2 = -0.75

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -0.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -0.75 + 0.390625

Combine like terms: -0.75 + 0.390625 = -0.359375
0.390625 + 1.25x + x2 = -0.359375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.