5x(x+2)-3=2x-3(4+x)

Solution for 5x(x+2)-3=2x-3(4+x) equation:

Simplifying
5x(x + 2) + -3 = 2x + -3(4 + x)

Reorder the terms:
5x(2 + x) + -3 = 2x + -3(4 + x)
(2 * 5x + x * 5x) + -3 = 2x + -3(4 + x)
(10x + 5x2) + -3 = 2x + -3(4 + x)

Reorder the terms:
-3 + 10x + 5x2 = 2x + -3(4 + x)
-3 + 10x + 5x2 = 2x + (4 * -3 + x * -3)
-3 + 10x + 5x2 = 2x + (-12 + -3x)

Reorder the terms:
-3 + 10x + 5x2 = -12 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-3 + 10x + 5x2 = -12 + -1x

Solving
-3 + 10x + 5x2 = -12 + -1x

Solving for variable 'x'.

Reorder the terms:
-3 + 12 + 10x + x + 5x2 = -12 + -1x + 12 + x

Combine like terms: -3 + 12 = 9
9 + 10x + x + 5x2 = -12 + -1x + 12 + x

Combine like terms: 10x + x = 11x
9 + 11x + 5x2 = -12 + -1x + 12 + x

Reorder the terms:
9 + 11x + 5x2 = -12 + 12 + -1x + x

Combine like terms: -12 + 12 = 0
9 + 11x + 5x2 = 0 + -1x + x
9 + 11x + 5x2 = -1x + x

Combine like terms: -1x + x = 0
9 + 11x + 5x2 = 0

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

Divide each side by '5'.
1.8 + 2.2x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 2.2x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 2.2x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 2.2x + x2 = 0 + -1.8
2.2x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
2.2x + x2 = -1.8

The x term is 2.2x.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2x + 1.21 + x2 = -1.8 + 1.21

Reorder the terms:
1.21 + 2.2x + x2 = -1.8 + 1.21

Combine like terms: -1.8 + 1.21 = -0.59
1.21 + 2.2x + x2 = -0.59

Factor a perfect square on the left side:
(x + 1.1)(x + 1.1) = -0.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.