2x+10=-(x-2)(x+1)

Solution for 2x+10=-(x-2)(x+1) equation:

Simplifying
2x + 10 = -1(x + -2)(x + 1)

Reorder the terms:
10 + 2x = -1(x + -2)(x + 1)

Reorder the terms:
10 + 2x = -1(-2 + x)(x + 1)

Reorder the terms:
10 + 2x = -1(-2 + x)(1 + x)

Multiply (-2 + x) * (1 + x)
10 + 2x = -1(-2(1 + x) + x(1 + x))
10 + 2x = -1((1 * -2 + x * -2) + x(1 + x))
10 + 2x = -1((-2 + -2x) + x(1 + x))
10 + 2x = -1(-2 + -2x + (1 * x + x * x))
10 + 2x = -1(-2 + -2x + (1x + x2))

Combine like terms: -2x + 1x = -1x
10 + 2x = -1(-2 + -1x + x2)
10 + 2x = (-2 * -1 + -1x * -1 + x2 * -1)
10 + 2x = (2 + 1x + -1x2)

Solving
10 + 2x = 2 + 1x + -1x2

Solving for variable 'x'.

Reorder the terms:
10 + -2 + 2x + -1x + x2 = 2 + 1x + -1x2 + -2 + -1x + x2

Combine like terms: 10 + -2 = 8
8 + 2x + -1x + x2 = 2 + 1x + -1x2 + -2 + -1x + x2

Combine like terms: 2x + -1x = 1x
8 + 1x + x2 = 2 + 1x + -1x2 + -2 + -1x + x2

Reorder the terms:
8 + 1x + x2 = 2 + -2 + 1x + -1x + -1x2 + x2

Combine like terms: 2 + -2 = 0
8 + 1x + x2 = 0 + 1x + -1x + -1x2 + x2
8 + 1x + x2 = 1x + -1x + -1x2 + x2

Combine like terms: 1x + -1x = 0
8 + 1x + x2 = 0 + -1x2 + x2
8 + 1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 1x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 1x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 1x + x2 = 0 + -8
1x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
1x + x2 = -8

The x term is 1x.  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.
x + 0.25 + x2 = -8 + 0.25

Reorder the terms:
0.25 + x + x2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + x + x2 = -7.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.