x(x+1)=11+x+(x+1)

Simple and best practice solution for x(x+1)=11+x+(x+1) 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(x+1)=11+x+(x+1) equation: 


Simplifying
x(x + 1) = 11 + x + (x + 1)

Reorder the terms:
x(1 + x) = 11 + x + (x + 1)
(1 * x + x * x) = 11 + x + (x + 1)
(1x + x2) = 11 + x + (x + 1)

Reorder the terms:
1x + x2 = 11 + x + (1 + x)

Remove parenthesis around (1 + x)
1x + x2 = 11 + x + 1 + x

Reorder the terms:
1x + x2 = 11 + 1 + x + x

Combine like terms: 11 + 1 = 12
1x + x2 = 12 + x + x

Combine like terms: x + x = 2x
1x + x2 = 12 + 2x

Solving
1x + x2 = 12 + 2x

Solving for variable 'x'.

Reorder the terms:
-12 + 1x + -2x + x2 = 12 + 2x + -12 + -2x

Combine like terms: 1x + -2x = -1x
-12 + -1x + x2 = 12 + 2x + -12 + -2x

Reorder the terms:
-12 + -1x + x2 = 12 + -12 + 2x + -2x

Combine like terms: 12 + -12 = 0
-12 + -1x + x2 = 0 + 2x + -2x
-12 + -1x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -1x + x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-3, 4}

See similar equations:

| -14=7(6-x) | | 19t-5-15t=35 | | 2x^2-32=0 | | 17=b-8 | | x+7x-6=34 | | v^2=-15-8v | | 5x+8=71-2x | | 7p-6p=14 | | -7-5= | | 3(x-8)= | | 9+2.7t=4.8+-6 | | 7p+6p=14 | | 5x-4(x-5)=22 | | 15y+2-y+3y+6= | | 8x+8(x+4)=128 | | -2b+7+3b=2 | | u=64u^2-49 | | 9x-6x-15=12 | | 4x-.75-3x=0.083 | | 9x+7=7x+17 | | (3x^2-5x+7)-(x^2+2x-3)= | | 4+-3= | | 3x^2+12x=-5 | | (11m-7n)-(2m+6n)= | | 14x+3=x | | 2a-11=8a+19 | | c(x)=177+.8x | | 2+-2=a | | -2+-2=a | | -2+-2= | | 0.5x-6=-4 | | 7t=x |

Equations solver categories