x^4-26x^2y^2+25y^4=0

Simple and best practice solution for x^4-26x^2y^2+25y^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 x^4-26x^2y^2+25y^4=0 equation: 


Simplifying
x4 + -26x2y2 + 25y4 = 0

Reorder the terms:
-26x2y2 + x4 + 25y4 = 0

Solving
-26x2y2 + x4 + 25y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -25y2)(x2 + -1y2) = 0

Factor a difference between two squares.
((x + 5y)(x + -5y))(x2 + -1y2) = 0

Factor a difference between two squares.
((x + y)(x + -1y))(x + 5y)(x + -5y) = 0


Subproblem 1
Set the factor '(x + 5y)' equal to zero and attempt to solve:

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y

Subproblem 2
Set the factor '(x + -5y)' equal to zero and attempt to solve:

Simplifying
x + -5y = 0

Solving
x + -5y = 0

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

Add '5y' to each side of the equation.
x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
x + 0 = 0 + 5y
x = 0 + 5y
Remove the zero:
x = 5y

Simplifying
x = 5y

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 = {-5y, 5y, -1y, y}

See similar equations:

| Y=3+-6*-1 | | 7x+31=x+55 | | =3(x-y) | | 8x^2+34x+30=0 | | 5/3635/9= | | 0.04x+0.07(14000.00-x)=840.00 | | 7y+5=3y-3 | | Y=3+-6*5 | | 12x-10-4x+50= | | 15X-10=16X+7 | | log(x)=0.82 | | w+3=-20 | | 9X-48=-3X | | 6b^2+7b-90=0 | | 130+81= | | x-(-11x)=x+6 | | 1200=6Q-(Q^2/200) | | 130*9= | | x+(y+5)= | | 3x-13=5x-39 | | -2(-5-6x)=4(5x+3) | | 3w-5=-5+11 | | 3(x-15)=18x | | -x+y= | | 5/2u-5/8=-1/4 | | -4/3-2/5x=-7/4 | | 12d+8=4(3d+2) | | 3y/5-2/3y | | x+5=-27 | | 2x+68=7x+8 | | 4x+x-16=44 | | 5x/3=7/2x= |

Equations solver categories