x^4-17x^2y^2+16y^4=

Simple and best practice solution for x^4-17x^2y^2+16y^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 x^4-17x^2y^2+16y^4= equation: 


Simplifying
x4 + -17x2y2 + 16y4 = 0

Reorder the terms:
-17x2y2 + x4 + 16y4 = 0

Solving
-17x2y2 + x4 + 16y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -16y2)(x2 + -1y2) = 0

Factor a difference between two squares.
((x + 4y)(x + -4y))(x2 + -1y2) = 0

Factor a difference between two squares.
((x + y)(x + -1y))(x + 4y)(x + -4y) = 0


Subproblem 1
Set the factor '(x + 4y)' equal to zero and attempt to solve:

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 = 0 + -4y
x = 0 + -4y
Remove the zero:
x = -4y

Simplifying
x = -4y

Subproblem 2
Set the factor '(x + -4y)' equal to zero and attempt to solve:

Simplifying
x + -4y = 0

Solving
x + -4y = 0

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

Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
x + 0 = 0 + 4y
x = 0 + 4y
Remove the zero:
x = 4y

Simplifying
x = 4y

Subproblem 3
Set the factor '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

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

Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y

Simplifying
x = -1y

Subproblem 4
Set the factor '(x + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

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

Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y

Simplifying
x = y
Solution
x = {-4y, 4y, -1y, y}

See similar equations:

| 15x-2=35x+6 | | 52=7+3x | | 2(x+5)-8=6x-4(1+x) | | 10x^2(x-5)-11x(x-5)-8(x-5)= | | 52=7x+3x | | 9(552)=5f-160 | | (x-2)=3x-22 | | 27y^4-12y^2= | | 2ln(7x)=2 | | 49=9-3x | | x^3+3x^2-25x-75= | | 9c=5(23.8)+-160 | | 2x^2+5x-4= | | 2x+14=7-3x | | 3x-121=0 | | x^2+81= | | 12x-6=17x-51 | | (50+4X)(120-5X)=6500 | | -2a(3a+4b)= | | 18x-9=17x-51 | | -4(6-3x)=28-13x | | 4b+6= | | 0=320-16x^2 | | 4h-12=-48 | | 3q^2-12q=-20 | | 7y+3y=-80 | | 5-7x=3x+5 | | c+24=78 | | 3xy(x-y)= | | y-35=3y-7 | | 4(2a-3)=3a+8 | | -6y-3=3+-6y |

Equations solver categories