(x^2+4)+(x-1)(x+4)+8=(2x+1)(x+2)

Simple and best practice solution for (x^2+4)+(x-1)(x+4)+8=(2x+1)(x+2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x^2+4)+(x-1)(x+4)+8=(2x+1)(x+2) equation: 


Simplifying
(x2 + 4) + (x + -1)(x + 4) + 8 = (2x + 1)(x + 2)

Reorder the terms:
(4 + x2) + (x + -1)(x + 4) + 8 = (2x + 1)(x + 2)

Remove parenthesis around (4 + x2)
4 + x2 + (x + -1)(x + 4) + 8 = (2x + 1)(x + 2)

Reorder the terms:
4 + x2 + (-1 + x)(x + 4) + 8 = (2x + 1)(x + 2)

Reorder the terms:
4 + x2 + (-1 + x)(4 + x) + 8 = (2x + 1)(x + 2)

Multiply (-1 + x) * (4 + x)
4 + x2 + (-1(4 + x) + x(4 + x)) + 8 = (2x + 1)(x + 2)
4 + x2 + ((4 * -1 + x * -1) + x(4 + x)) + 8 = (2x + 1)(x + 2)
4 + x2 + ((-4 + -1x) + x(4 + x)) + 8 = (2x + 1)(x + 2)
4 + x2 + (-4 + -1x + (4 * x + x * x)) + 8 = (2x + 1)(x + 2)
4 + x2 + (-4 + -1x + (4x + x2)) + 8 = (2x + 1)(x + 2)

Combine like terms: -1x + 4x = 3x
4 + x2 + (-4 + 3x + x2) + 8 = (2x + 1)(x + 2)

Reorder the terms:
4 + -4 + 8 + 3x + x2 + x2 = (2x + 1)(x + 2)

Combine like terms: 4 + -4 = 0
0 + 8 + 3x + x2 + x2 = (2x + 1)(x + 2)
8 + 3x + x2 + x2 = (2x + 1)(x + 2)

Combine like terms: x2 + x2 = 2x2
8 + 3x + 2x2 = (2x + 1)(x + 2)

Reorder the terms:
8 + 3x + 2x2 = (1 + 2x)(x + 2)

Reorder the terms:
8 + 3x + 2x2 = (1 + 2x)(2 + x)

Multiply (1 + 2x) * (2 + x)
8 + 3x + 2x2 = (1(2 + x) + 2x * (2 + x))
8 + 3x + 2x2 = ((2 * 1 + x * 1) + 2x * (2 + x))
8 + 3x + 2x2 = ((2 + 1x) + 2x * (2 + x))
8 + 3x + 2x2 = (2 + 1x + (2 * 2x + x * 2x))
8 + 3x + 2x2 = (2 + 1x + (4x + 2x2))

Combine like terms: 1x + 4x = 5x
8 + 3x + 2x2 = (2 + 5x + 2x2)

Add '-2x2' to each side of the equation.
8 + 3x + 2x2 + -2x2 = 2 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 3x + 0 = 2 + 5x + 2x2 + -2x2
8 + 3x = 2 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + 3x = 2 + 5x + 0
8 + 3x = 2 + 5x

Solving
8 + 3x = 2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
8 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
8 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -2x = 2 + 0
8 + -2x = 2

Add '-8' to each side of the equation.
8 + -8 + -2x = 2 + -8

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

Combine like terms: 2 + -8 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

See similar equations:

| 6n-4=182 | | 3x^2-3x+1=0 | | 8x^2-22x+5=0 | | 6x+6=144-6x | | 8n-138=1718 | | 3x+4-5x=7-2x | | 7n-4=24 | | 12n+12=24 | | 162-5x=22x+24 | | 6x-5=16x-155 | | 10n-300=100 | | 17R-11R=-3R+16.2875 | | 4n-5=47 | | 13x+8-5=12x-3 | | -x^2+7x-6=0 | | 228-6x=39x+18 | | 4Q+13=13-3Q | | 2n-4=28 | | 7n-8=13 | | 4z-2=2z+4 | | 12x^2+24x=0 | | 3n-15=45 | | 4(7c+2)= | | 3(7x-6)=5+3x | | 9(x-2)+7(x+5)-3= | | 2x-75=53 | | 158-4x=5x+26 | | -33-2x=9-8x | | 5x+20=12-43 | | -1-6x=5-7x | | 2+2-5= | | 22-0.2=25 |

Equations solver categories