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

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

Simplifying
4x(x + 2) + -3x + 7 = x + 4

Reorder the terms:
4x(2 + x) + -3x + 7 = x + 4
(2 * 4x + x * 4x) + -3x + 7 = x + 4
(8x + 4x2) + -3x + 7 = x + 4

Reorder the terms:
7 + 8x + -3x + 4x2 = x + 4

Combine like terms: 8x + -3x = 5x
7 + 5x + 4x2 = x + 4

Reorder the terms:
7 + 5x + 4x2 = 4 + x

Solving
7 + 5x + 4x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
7 + -4 + 5x + -1x + 4x2 = 4 + x + -4 + -1x

Combine like terms: 7 + -4 = 3
3 + 5x + -1x + 4x2 = 4 + x + -4 + -1x

Combine like terms: 5x + -1x = 4x
3 + 4x + 4x2 = 4 + x + -4 + -1x

Reorder the terms:
3 + 4x + 4x2 = 4 + -4 + x + -1x

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

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

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

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

Move the constant term to the right:

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

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

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

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

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

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -0.75 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
1.25 + x2 = -0.5

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.