(x+2)(x+3)=2x-10

Solution for (x+2)(x+3)=2x-10 equation:

Simplifying
(x + 2)(x + 3) = 2x + -10

Reorder the terms:
(2 + x)(x + 3) = 2x + -10

Reorder the terms:
(2 + x)(3 + x) = 2x + -10

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) = 2x + -10
((3 * 2 + x * 2) + x(3 + x)) = 2x + -10
((6 + 2x) + x(3 + x)) = 2x + -10
(6 + 2x + (3 * x + x * x)) = 2x + -10
(6 + 2x + (3x + x2)) = 2x + -10

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2) = 2x + -10

Reorder the terms:
6 + 5x + x2 = -10 + 2x

Solving
6 + 5x + x2 = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
6 + 10 + 5x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: 6 + 10 = 16
16 + 5x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: 5x + -2x = 3x
16 + 3x + x2 = -10 + 2x + 10 + -2x

Reorder the terms:
16 + 3x + x2 = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
16 + 3x + x2 = 0 + 2x + -2x
16 + 3x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 3x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 3x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3x + x2 = 0 + -16
3x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
3x + x2 = -16

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -16 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -16 + 2.25

Combine like terms: -16 + 2.25 = -13.75
2.25 + 3x + x2 = -13.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.