16a^4-b^4=0

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


Simplifying
16a4 + -1b4 = 0

Solving
16a4 + -1b4 = 0

Solving for variable 'a'.

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

Add 'b4' to each side of the equation.
16a4 + -1b4 + b4 = 0 + b4

Combine like terms: -1b4 + b4 = 0
16a4 + 0 = 0 + b4
16a4 = 0 + b4
Remove the zero:
16a4 = b4

Divide each side by '16'.
a4 = 0.0625b4

Simplifying
a4 = 0.0625b4

Combine like terms: 0.0625b4 + -0.0625b4 = 0.0000
a4 + -0.0625b4 = 0.0000

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

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


Subproblem 1
Set the factor '(a2 + 0.25b2)' equal to zero and attempt to solve:

Simplifying
a2 + 0.25b2 = 0

Solving
a2 + 0.25b2 = 0

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

Add '-0.25b2' to each side of the equation.
a2 + 0.25b2 + -0.25b2 = 0 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
a2 + 0.00 = 0 + -0.25b2
a2 = 0 + -0.25b2
Remove the zero:
a2 = -0.25b2

Simplifying
a2 = -0.25b2

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 + 0.5b)' equal to zero and attempt to solve:

Simplifying
a + 0.5b = 0

Solving
a + 0.5b = 0

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

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

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

Simplifying
a = -0.5b

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

Simplifying
a + -0.5b = 0

Solving
a + -0.5b = 0

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

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

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

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

See similar equations:

| 6(x+5)=-3 | | 2x+15=3x^2 | | 15-u=200 | | 2x-1=96 | | (2x-5)-5=4+5 | | 2(1+3)=8 | | 4.00+0.50n= | | 139-y=218 | | 4r^2-12r+25=0 | | 170=38-v | | 3(x+4)=6(x+2) | | 4v-14=22 | | 8+18s-3=9s+109-4s | | 60-222= | | x^2+2xy+y^2+10=0 | | B+4=2(5-b) | | -18=2(u-6) | | 3(w-87)=33 | | sin70=85/n | | 6(j-84)=90 | | ((1-4t^2)/(t^2))(t/(1-t)) | | 7z-2z=-20 | | 8x-5=4+7x | | q=22-.5(20-.5q) | | 2+3(y-1)=23 | | 15=g/4=14 | | 15=g/4=1 | | x/1.4=3 | | ab=-18+48 | | 7y^2-3y=4 | | -18=-8+2y | | 6(9-2x)=-12x-18 |

Equations solver categories