(X-1)*(x-1)=x-2x+1

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


Simplifying
(X + -1)(x + -1) = x + -2x + 1

Reorder the terms:
(-1 + X)(x + -1) = x + -2x + 1

Reorder the terms:
(-1 + X)(-1 + x) = x + -2x + 1

Multiply (-1 + X) * (-1 + x)
(-1(-1 + x) + X(-1 + x)) = x + -2x + 1
((-1 * -1 + x * -1) + X(-1 + x)) = x + -2x + 1
((1 + -1x) + X(-1 + x)) = x + -2x + 1
(1 + -1x + (-1 * X + x * X)) = x + -2x + 1
(1 + -1x + (-1X + xX)) = x + -2x + 1

Reorder the terms:
(1 + -1X + -1x + xX) = x + -2x + 1
(1 + -1X + -1x + xX) = x + -2x + 1

Reorder the terms:
1 + -1X + -1x + xX = 1 + x + -2x

Combine like terms: x + -2x = -1x
1 + -1X + -1x + xX = 1 + -1x

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

Reorder the terms:
1 + -1 + -1X + -1x + xX = 1 + -1 + -1x

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

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

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

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

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

Solving
-1X + xX = 0

Solving for variable 'X'.

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

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

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

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

Simplifying
0 = 1 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

See similar equations:

| 1+80996644= | | x^2-25=10x | | 4x+30=150-2x | | -2(x-4)=3(x-6) | | 32x^2+52x+5=-10 | | (X-1)*(x-1)= | | 13x-11x=0 | | 2a^2-14a+20=0 | | (X-1)x(x-1)= | | 10n+41=318 | | 64x^2-32x-2=19 | | y=2.52(32)+1.61 | | (75-3x)=90 | | 45x^2-69x+6=-12 | | 3x-2+4x=6x-5 | | 15x^2+51x+9=-9 | | 3x^2-150=-x^2+106 | | X+.112x=2 | | 6x^2-23x+1=-19 | | 5x+9=-141-10 | | (u-3)+6=18 | | 5n-14=98 | | 3/4=(4m-5)/6 | | -4(5-2y)=-2y-2 | | 1+20*5=0 | | x/3/8=24 | | c+18=40 | | .7(6-.03n)=-2.1 | | x*x-4*x=0 | | x+.112=2 | | 12*4=6*x | | 1+20*5= |

Equations solver categories