x(2x-5)+(x+1)(x+3)=

Solution for x(2x-5)+(x+1)(x+3)= equation:

Simplifying
x(2x + -5) + (x + 1)(x + 3) = 0

Reorder the terms:
x(-5 + 2x) + (x + 1)(x + 3) = 0
(-5 * x + 2x * x) + (x + 1)(x + 3) = 0
(-5x + 2x2) + (x + 1)(x + 3) = 0

Reorder the terms:
-5x + 2x2 + (1 + x)(x + 3) = 0

Reorder the terms:
-5x + 2x2 + (1 + x)(3 + x) = 0

Multiply (1 + x) * (3 + x)
-5x + 2x2 + (1(3 + x) + x(3 + x)) = 0
-5x + 2x2 + ((3 * 1 + x * 1) + x(3 + x)) = 0
-5x + 2x2 + ((3 + 1x) + x(3 + x)) = 0
-5x + 2x2 + (3 + 1x + (3 * x + x * x)) = 0
-5x + 2x2 + (3 + 1x + (3x + x2)) = 0

Combine like terms: 1x + 3x = 4x
-5x + 2x2 + (3 + 4x + x2) = 0

Reorder the terms:
3 + -5x + 4x + 2x2 + x2 = 0

Combine like terms: -5x + 4x = -1x
3 + -1x + 2x2 + x2 = 0

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

Solving
3 + -1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
1 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333x + x2 = 0 + -1
-0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333x + x2 = -1

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.