(2x+3)(x+1)=6x

Solution for (2x+3)(x+1)=6x equation:

Simplifying
(2x + 3)(x + 1) = 6x

Reorder the terms:
(3 + 2x)(x + 1) = 6x

Reorder the terms:
(3 + 2x)(1 + x) = 6x

Multiply (3 + 2x) * (1 + x)
(3(1 + x) + 2x * (1 + x)) = 6x
((1 * 3 + x * 3) + 2x * (1 + x)) = 6x
((3 + 3x) + 2x * (1 + x)) = 6x
(3 + 3x + (1 * 2x + x * 2x)) = 6x
(3 + 3x + (2x + 2x2)) = 6x

Combine like terms: 3x + 2x = 5x
(3 + 5x + 2x2) = 6x

Solving
3 + 5x + 2x2 = 6x

Solving for variable 'x'.

Reorder the terms:
3 + 5x + -6x + 2x2 = 6x + -6x

Combine like terms: 5x + -6x = -1x
3 + -1x + 2x2 = 6x + -6x

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

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

Divide each side by '2'.
1.5 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.5x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.5x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5x + x2 = 0 + -1.5
-0.5x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.5x + x2 = -1.5

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.5 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + -0.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.