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

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

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

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

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

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

Solving
2 + 3x + x2 = -8 + 4x

Solving for variable 'x'.

Reorder the terms:
2 + 8 + 3x + -4x + x2 = -8 + 4x + 8 + -4x

Combine like terms: 2 + 8 = 10
10 + 3x + -4x + x2 = -8 + 4x + 8 + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x + x2 = -8 + 4x + 8 + -4x

Reorder the terms:
10 + -1x + x2 = -8 + 8 + 4x + -4x

Combine like terms: -8 + 8 = 0
10 + -1x + x2 = 0 + 4x + -4x
10 + -1x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -1x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -1x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x + x2 = 0 + -10
-1x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1x + x2 = -10

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.
-1x + 0.25 + x2 = -10 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + -1x + x2 = -9.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.