625a^4-b^4=

Simple and best practice solution for 625a^4-b^4= 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 625a^4-b^4= equation: 


Simplifying
625a4 + -1b4 = 0

Solving
625a4 + -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.
625a4 + -1b4 + b4 = 0 + b4

Combine like terms: -1b4 + b4 = 0
625a4 + 0 = 0 + b4
625a4 = 0 + b4
Remove the zero:
625a4 = b4

Divide each side by '625'.
a4 = 0.0016b4

Simplifying
a4 = 0.0016b4

Combine like terms: 0.0016b4 + -0.0016b4 = 0.0000
a4 + -0.0016b4 = 0.0000

Factor a difference between two squares.
(a2 + 0.04b2)(a2 + -0.04b2) = 0.0000

Factor a difference between two squares.
(a2 + 0.04b2)((a + 0.2b)(a + -0.2b)) = 0.0000


Subproblem 1
Set the factor '(a2 + 0.04b2)' equal to zero and attempt to solve:

Simplifying
a2 + 0.04b2 = 0

Solving
a2 + 0.04b2 = 0

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

Add '-0.04b2' to each side of the equation.
a2 + 0.04b2 + -0.04b2 = 0 + -0.04b2

Combine like terms: 0.04b2 + -0.04b2 = 0.00
a2 + 0.00 = 0 + -0.04b2
a2 = 0 + -0.04b2
Remove the zero:
a2 = -0.04b2

Simplifying
a2 = -0.04b2

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 + 0.2b)' equal to zero and attempt to solve:

Simplifying
a + 0.2b = 0

Solving
a + 0.2b = 0

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

Add '-0.2b' to each side of the equation.
a + 0.2b + -0.2b = 0 + -0.2b

Combine like terms: 0.2b + -0.2b = 0.0
a + 0.0 = 0 + -0.2b
a = 0 + -0.2b
Remove the zero:
a = -0.2b

Simplifying
a = -0.2b

Subproblem 3
Set the factor '(a + -0.2b)' equal to zero and attempt to solve:

Simplifying
a + -0.2b = 0

Solving
a + -0.2b = 0

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

Add '0.2b' to each side of the equation.
a + -0.2b + 0.2b = 0 + 0.2b

Combine like terms: -0.2b + 0.2b = 0.0
a + 0.0 = 0 + 0.2b
a = 0 + 0.2b
Remove the zero:
a = 0.2b

Simplifying
a = 0.2b
Solution
a = {-0.2b, 0.2b}

See similar equations:

| 3x=31-17 | | (5.4*100000)*(3.5*10000000000)= | | 45y^4-129y^3+90y^2= | | 32x^5y^2-16x^4y^3+2x^3y^4= | | 5x-14=8x+7 | | 8x+3=-5+4x+20 | | 12a^4b^3-36a^3b^4+27a^2b^5= | | 7a-1-6=13+4a | | 7+856= | | 2x+4=87x-9 | | 16x^4-256y^4= | | 5(3d+6)-5=3(d+1)-2 | | -17q=-34 | | n-6=10-3n | | 4z=28-0.25+(4-16z) | | 5(3d-6)-5=3(d+1)-2 | | 3w+5=8(6-5w) | | 7-4x-5-6x=4 | | 8n-4n=-16 | | 2n-14=-5+5n | | 9z-2=-2+5z | | 9x+4=54 | | -3t+3x=11 | | x=-7y+8 | | 33+3y-4=12y-13-2y | | 8c=14-.5(10c+2) | | 7x+2-3x=34 | | -4-4=-14x | | 4z=28-.25(4-16z) | | 4m-7=-2m+5 | | -6-4=-5+x | | 4(3X-7)=5(2x+1) |

Equations solver categories