(x+1)=(x+2)x+1

Simple and best practice solution for (x+1)=(x+2)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+1)=(x+2)x+1 equation: 


Simplifying
(x + 1) = (x + 2) * x + 1

Reorder the terms:
(1 + x) = (x + 2) * x + 1

Remove parenthesis around (1 + x)
1 + x = (x + 2) * x + 1

Reorder the terms:
1 + x = (2 + x) * x + 1

Reorder the terms for easier multiplication:
1 + x = x(2 + x) + 1
1 + x = (2 * x + x * x) + 1
1 + x = (2x + x2) + 1

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

Add '-1' to each side of the equation.
1 + -1 + x = 1 + 2x + -1 + x2

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

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

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

Solving
x = 2x + x2

Solving for variable 'x'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

See similar equations:

| 3y-6x+4xy-2y^2= | | 2x-2(4x-2)=35 | | x=-7y-10x | | 0.8x-0.1=0.5-0.2(7-5x) | | 13x^2-22=98 | | 2(2x+3)=20 | | 2P+-1(-1P)= | | y-7=-7/3-14/3 | | 30+30(4)=b | | 5*sin(2x)=3 | | f(x)=3*9+2 | | -3(k+(-4))=(-6) | | ln(11x-1)=-4 | | -8=1/2x^2 | | 3x^2+7x=2x^2+9x+11 | | f(x)=3*0+2 | | 1p+2(1-p)= | | x+4x(3)=7x-2 | | (-1)*(1)= | | 2/3×5/8 | | x^2-13-40=0 | | 5y^4-1y^2+1.5=0 | | 4(3-z)-5(1-2z)=7(3+2) | | Log(sub*2)18=x | | 6x^2+13x=-2 | | 3p+(-1)(1-3p)= | | 4.9x^2+30x-500=0 | | Y=1+1.3x+1 | | 10y+180=9x | | 12uv^4x^2+20u^8v^9=0 | | 3x+15=x+7-4x | | 32x(-1)(2)=4x+4 |

Equations solver categories