(X-7)(X-1)=(X+1)

Simple and best practice solution for (X-7)(X-1)=(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-7)(X-1)=(X+1) equation: 


Simplifying
(X + -7)(X + -1) = (X + 1)

Reorder the terms:
(-7 + X)(X + -1) = (X + 1)

Reorder the terms:
(-7 + X)(-1 + X) = (X + 1)

Multiply (-7 + X) * (-1 + X)
(-7(-1 + X) + X(-1 + X)) = (X + 1)
((-1 * -7 + X * -7) + X(-1 + X)) = (X + 1)
((7 + -7X) + X(-1 + X)) = (X + 1)
(7 + -7X + (-1 * X + X * X)) = (X + 1)
(7 + -7X + (-1X + X2)) = (X + 1)

Combine like terms: -7X + -1X = -8X
(7 + -8X + X2) = (X + 1)

Reorder the terms:
7 + -8X + X2 = (1 + X)

Remove parenthesis around (1 + X)
7 + -8X + X2 = 1 + X

Solving
7 + -8X + X2 = 1 + X

Solving for variable 'X'.

Reorder the terms:
7 + -1 + -8X + -1X + X2 = 1 + X + -1 + -1X

Combine like terms: 7 + -1 = 6
6 + -8X + -1X + X2 = 1 + X + -1 + -1X

Combine like terms: -8X + -1X = -9X
6 + -9X + X2 = 1 + X + -1 + -1X

Reorder the terms:
6 + -9X + X2 = 1 + -1 + X + -1X

Combine like terms: 1 + -1 = 0
6 + -9X + X2 = 0 + X + -1X
6 + -9X + X2 = X + -1X

Combine like terms: X + -1X = 0
6 + -9X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -9X + -6 + X2 = 0 + -6

Reorder the terms:
6 + -6 + -9X + X2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9X + X2 = 0 + -6
-9X + X2 = 0 + -6

Combine like terms: 0 + -6 = -6
-9X + X2 = -6

The X term is -9X.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9X + 20.25 + X2 = -6 + 20.25

Reorder the terms:
20.25 + -9X + X2 = -6 + 20.25

Combine like terms: -6 + 20.25 = 14.25
20.25 + -9X + X2 = 14.25

Factor a perfect square on the left side:
(X + -4.5)(X + -4.5) = 14.25

Calculate the square root of the right side: 3.774917218

Break this problem into two subproblems by setting 
(X + -4.5) equal to 3.774917218 and -3.774917218.


Subproblem 1
X + -4.5 = 3.774917218

Simplifying
X + -4.5 = 3.774917218

Reorder the terms:
-4.5 + X = 3.774917218

Solving
-4.5 + X = 3.774917218

Solving for variable 'X'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + X = 3.774917218 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + X = 3.774917218 + 4.5
X = 3.774917218 + 4.5

Combine like terms: 3.774917218 + 4.5 = 8.274917218
X = 8.274917218

Simplifying
X = 8.274917218


Subproblem 2
X + -4.5 = -3.774917218

Simplifying
X + -4.5 = -3.774917218

Reorder the terms:
-4.5 + X = -3.774917218

Solving
-4.5 + X = -3.774917218

Solving for variable 'X'.

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

Add '4.5' to each side of the equation.
-4.5 + 4.5 + X = -3.774917218 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + X = -3.774917218 + 4.5
X = -3.774917218 + 4.5

Combine like terms: -3.774917218 + 4.5 = 0.725082782
X = 0.725082782

Simplifying
X = 0.725082782


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {8.274917218, 0.725082782}

See similar equations:

| 5x+37=7x+21 | | 4m^2-8m+1=0 | | ln(12-9x)-2lnx=3ln | | .11+0.04(y+8000)=1670 | | 30x^3+3x^2y-6xy^2= | | X+10=2x+23 | | X+47=-32 | | -6-(6-3)= | | 2x-6x+7=x-9+16 | | (5-3x)(5+3x)=x | | 5y+4=44 | | 58=2s+-22 | | -72=y+20 | | 1200x+500x=735 | | 5-1x=10 | | 6y-7=73 | | 5g-22=63 | | 600x+200x=735 | | 5-(2+1)=10 | | -34=y-6 | | 5(2)-17= | | 4x^3-25x^3=0 | | 5*9-3*8-4*5= | | 5x^2+15xy-30y= | | 6*10-5*20= | | 5(a)-17= | | 6(x+9)+9=9x-3(x-3) | | 30-[-(10-5)-15]-25= | | x^2-7=49 | | 15-[(4-2)-3]= | | 43x+77y=5 | | 4(x-3)=30 |

Equations solver categories