16a^4-b^8=0

Simple and best practice solution for 16a^4-b^8=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 16a^4-b^8=0 equation: 


Simplifying
16a4 + -1b8 = 0

Solving
16a4 + -1b8 = 0

Solving for variable 'a'.

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

Add 'b8' to each side of the equation.
16a4 + -1b8 + b8 = 0 + b8

Combine like terms: -1b8 + b8 = 0
16a4 + 0 = 0 + b8
16a4 = 0 + b8
Remove the zero:
16a4 = b8

Divide each side by '16'.
a4 = 0.0625b8

Simplifying
a4 = 0.0625b8

Combine like terms: 0.0625b8 + -0.0625b8 = 0.0000
a4 + -0.0625b8 = 0.0000

Factor a difference between two squares.
(a2 + 0.25b4)(a2 + -0.25b4) = 0.0000

Factor a difference between two squares.
(a2 + 0.25b4)((a + 0.5b2)(a + -0.5b2)) = 0.0000


Subproblem 1
Set the factor '(a2 + 0.25b4)' equal to zero and attempt to solve:

Simplifying
a2 + 0.25b4 = 0

Solving
a2 + 0.25b4 = 0

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

Add '-0.25b4' to each side of the equation.
a2 + 0.25b4 + -0.25b4 = 0 + -0.25b4

Combine like terms: 0.25b4 + -0.25b4 = 0.00
a2 + 0.00 = 0 + -0.25b4
a2 = 0 + -0.25b4
Remove the zero:
a2 = -0.25b4

Simplifying
a2 = -0.25b4

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 '(a + 0.5b2)' equal to zero and attempt to solve:

Simplifying
a + 0.5b2 = 0

Solving
a + 0.5b2 = 0

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

Add '-0.5b2' to each side of the equation.
a + 0.5b2 + -0.5b2 = 0 + -0.5b2

Combine like terms: 0.5b2 + -0.5b2 = 0.0
a + 0.0 = 0 + -0.5b2
a = 0 + -0.5b2
Remove the zero:
a = -0.5b2

Simplifying
a = -0.5b2

Subproblem 3
Set the factor '(a + -0.5b2)' equal to zero and attempt to solve:

Simplifying
a + -0.5b2 = 0

Solving
a + -0.5b2 = 0

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

Add '0.5b2' to each side of the equation.
a + -0.5b2 + 0.5b2 = 0 + 0.5b2

Combine like terms: -0.5b2 + 0.5b2 = 0.0
a + 0.0 = 0 + 0.5b2
a = 0 + 0.5b2
Remove the zero:
a = 0.5b2

Simplifying
a = 0.5b2
Solution
a = {-0.5b2, 0.5b2}

See similar equations:

| 9x+0.25=88 | | 3(2x-.75)=3x+6 | | 25/5(2x3) | | -88=-4(6-2x) | | 5(2x+3)+15=4(3x+5)+23 | | n=-0.3+2m | | 63=w^2+9w | | 3(x+3)=11(x+3) | | 9+25x=88 | | 3x+49=9x-5 | | N/51.6 | | 2u+3=15 | | 4(3n+2)=3(4n+2)+2 | | 13x^2-x+6=5x^2-4x | | 4(4x-2Y)-3X+7R= | | 3s-4=40 | | y=3*pi | | 5-3f=10 | | -16=2x+3 | | 1.2(5x-10)=1.5(4x+3.2) | | 3(10x+75)=585 | | w^2=7-w | | n=2m-0.3 | | x^2+38x+43=0 | | X+(3x+30)+2(3x+30)=790 | | 11-3v=7 | | 2x^2+24x=-40 | | y=11(-3)-1 | | x+19y=18 | | X(x)-11x=0 | | 0.4x-4=6-0.8x | | -14-x=-90-5x+4x |

Equations solver categories