(x+1)(x-1)(x^2+1)=0

Simple and best practice solution for (x+1)(x-1)(x^2+1)=0 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^2+1)=0 equation: 


Simplifying
(x + 1)(x + -1)(x2 + 1) = 0

Reorder the terms:
(1 + x)(x + -1)(x2 + 1) = 0

Reorder the terms:
(1 + x)(-1 + x)(x2 + 1) = 0

Reorder the terms:
(1 + x)(-1 + x)(1 + x2) = 0

Multiply (1 + x) * (-1 + x)
(1(-1 + x) + x(-1 + x))(1 + x2) = 0
((-1 * 1 + x * 1) + x(-1 + x))(1 + x2) = 0
((-1 + 1x) + x(-1 + x))(1 + x2) = 0
(-1 + 1x + (-1 * x + x * x))(1 + x2) = 0
(-1 + 1x + (-1x + x2))(1 + x2) = 0

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

Multiply (-1 + x2) * (1 + x2)
(-1(1 + x2) + x2(1 + x2)) = 0
((1 * -1 + x2 * -1) + x2(1 + x2)) = 0
((-1 + -1x2) + x2(1 + x2)) = 0
(-1 + -1x2 + (1 * x2 + x2 * x2)) = 0
(-1 + -1x2 + (1x2 + x4)) = 0

Combine like terms: -1x2 + 1x2 = 0
(-1 + 0 + x4) = 0
(-1 + x4) = 0

Solving
-1 + x4 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x4 = 0 + 1
x4 = 0 + 1

Combine like terms: 0 + 1 = 1
x4 = 1

Simplifying
x4 = 1

Reorder the terms:
-1 + x4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + x4 = 0

Factor a difference between two squares.
(1 + x2)(-1 + x2) = 0

Factor a difference between two squares.
(1 + x2)((1 + x)(-1 + x)) = 0


Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve:

Simplifying
1 + x2 = 0

Solving
1 + x2 = 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 + x2 = 0 + -1

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

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

Simplifying
x2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Subproblem 3
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 = {-1, 1}

See similar equations:

| 3b=2 | | -(3x)= | | 2t=10 | | 42-8x=46 | | 15-(a+8)= | | -.0006=.02x | | 4+5ab= | | .25y=1.5 | | 5h=21 | | 30-5=25 | | 2x=10-6y | | 15m=180 | | 4=2/3+c | | 73.35=4.37+y | | 7a+3b-5b+4c-3a+6b+5ab= | | 7a+7a= | | 3y=4x+7 | | 30=b-14 | | w/9-6=7/9 | | 5r-1/5=4/5 | | 7w=-72 | | m/3+1/3=2/3 | | (x-1)(x-1)(x-1)+64=0 | | -6y-20=-8(y+5) | | -6(y-3)=5y-48 | | -2w+16=2(w-2) | | 3(4m+6)=4(2m-1) | | 6(3a+2)=5(2a+9) | | -7(w+6)=-9w-48 | | 5x-8=2x-17 | | x^2-4x+45=0 | | -9w+15=-3(w+3) |

Equations solver categories