X^8-65536=0

Simple and best practice solution for X^8-65536=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^8-65536=0 equation:


Simplifying
X8 + -65536 = 0

Reorder the terms:
-65536 + X8 = 0

Solving
-65536 + X8 = 0

Solving for variable 'X'.

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

Add '65536' to each side of the equation.
-65536 + 65536 + X8 = 0 + 65536

Combine like terms: -65536 + 65536 = 0
0 + X8 = 0 + 65536
X8 = 0 + 65536

Combine like terms: 0 + 65536 = 65536
X8 = 65536

Simplifying
X8 = 65536

Reorder the terms:
-65536 + X8 = 65536 + -65536

Combine like terms: 65536 + -65536 = 0
-65536 + X8 = 0

Factor a difference between two squares.
(256 + X4)(-256 + X4) = 0

Factor a difference between two squares.
(256 + X4)((16 + X2)(-16 + X2)) = 0

Factor a difference between two squares.
(256 + X4)((16 + X2)((4 + X)(-4 + X))) = 0

Subproblem 1

Set the factor '(256 + X4)' equal to zero and attempt to solve: Simplifying 256 + X4 = 0 Solving 256 + X4 = 0 Move all terms containing X to the left, all other terms to the right. Add '-256' to each side of the equation. 256 + -256 + X4 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + X4 = 0 + -256 X4 = 0 + -256 Combine like terms: 0 + -256 = -256 X4 = -256 Simplifying X4 = -256 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 '(16 + X2)' equal to zero and attempt to solve: Simplifying 16 + X2 = 0 Solving 16 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + X2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + X2 = 0 + -16 X2 = 0 + -16 Combine like terms: 0 + -16 = -16 X2 = -16 Simplifying X2 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4

Subproblem 4

Set the factor '(-4 + X)' equal to zero and attempt to solve: Simplifying -4 + X = 0 Solving -4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X = 0 + 4 X = 0 + 4 Combine like terms: 0 + 4 = 4 X = 4 Simplifying X = 4

Solution

X = {-4, 4}

See similar equations:

| 64=8-2x | | 440-10m=60 | | 3V^2+72V-75=0 | | 3x-5y=5x-10 | | -5z-z=6(z-4)+8(z-7) | | g(x)=-2x^2-6 | | 4W^2-32W+28=0 | | y+13=1.3333(x+7) | | 36=-20+4b | | 4x-5y-9= | | 5U^2+23U-10=0 | | v^2+10v-24=0 | | 60=-96+12a | | 241/2-(6x-8y) | | 4-a=12 | | -6=x-(-18) | | 30=-24-6s | | 5(2/15) | | 11x-4+15x=100 | | 49=-79(t-1) | | 13x^2+3510x-4290=0 | | 8=b/12 | | (4x^2-7x-28)+(8x^2+9x)= | | 4/7=x/105 | | y+12=.5(x+13) | | H^2+11H+10=0 | | 4w+5w=24 | | 7-3y=6 | | 3*x^2-x-81510=0 | | X-(6-6)=-7 | | 7p+2=-8 | | 3(0.8-b)=1.8 |

Equations solver categories