3x+1=x^2-2x+1

Simple and best practice solution for 3x+1=x^2-2x+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 3x+1=x^2-2x+1 equation: 


Simplifying
3x + 1 = x2 + -2x + 1

Reorder the terms:
1 + 3x = x2 + -2x + 1

Reorder the terms:
1 + 3x = 1 + -2x + x2

Add '-1' to each side of the equation.
1 + -1 + 3x = 1 + -2x + -1 + x2

Combine like terms: 1 + -1 = 0
0 + 3x = 1 + -2x + -1 + x2
3x = 1 + -2x + -1 + x2

Reorder the terms:
3x = 1 + -1 + -2x + x2

Combine like terms: 1 + -1 = 0
3x = 0 + -2x + x2
3x = -2x + x2

Solving
3x = -2x + x2

Solving for variable 'x'.

Combine like terms: 3x + 2x = 5x
5x + -1x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
5x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
5x + -1x2 = 0 + x2 + -1x2
5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -1x) = 0


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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 5}

See similar equations:

| 15-3x=x-7 | | x(x-m)=12m^2 | | 3v^2-10v=8 | | -7y=x+56 | | (3ab)(2ab)= | | Z^2+3z-54=0 | | 2x^3+22x^2+60x=0 | | x^5-20x^2+20=0 | | 2x^3+22x^2+48x=0 | | 3n+7=-28 | | 5m-8m=18 | | [2x-1]3=7 | | t+32=16 | | 0.5x+7=2x-7 | | 5(2-g)=03 | | f(-4)=5x+1 | | 3.4x-1.4=1.36-35x | | 3m-2-m=-2+m-5 | | T(n)=4n-5 | | 3m-m=-2+m-5 | | -24+x=x+12 | | 4-x=x+8 | | logbase*2(2x-1)=3 | | 4-x=x+17 | | 5x+8-7x=12-14x+12x-4 | | (5x+20)+(x+40)=180 | | 7-x=x+17 | | (5x+3)+(3x+11)=90 | | 2(x-2)+8=5x-3(-2+x) | | 3x-6y+8=0 | | 2x^3+26x^2+84x=0 | | 3(4x-5)=2(x+3) |

Equations solver categories