(2x^2-y^2)(x^2-y^2)=

Simple and best practice solution for (2x^2-y^2)(x^2-y^2)= 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 (2x^2-y^2)(x^2-y^2)= equation: 


Simplifying
(2x2 + -1y2)(x2 + -1y2) = 0

Multiply (2x2 + -1y2) * (x2 + -1y2)
(2x2 * (x2 + -1y2) + -1y2 * (x2 + -1y2)) = 0
((x2 * 2x2 + -1y2 * 2x2) + -1y2 * (x2 + -1y2)) = 0

Reorder the terms:
((-2x2y2 + 2x4) + -1y2 * (x2 + -1y2)) = 0
((-2x2y2 + 2x4) + -1y2 * (x2 + -1y2)) = 0
(-2x2y2 + 2x4 + (x2 * -1y2 + -1y2 * -1y2)) = 0
(-2x2y2 + 2x4 + (-1x2y2 + 1y4)) = 0

Reorder the terms:
(-2x2y2 + -1x2y2 + 2x4 + 1y4) = 0

Combine like terms: -2x2y2 + -1x2y2 = -3x2y2
(-3x2y2 + 2x4 + 1y4) = 0

Solving
-3x2y2 + 2x4 + 1y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -1y2)(2x2 + -1y2) = 0

Factor a difference between two squares.
((x + y)(x + -1y))(2x2 + -1y2) = 0


Subproblem 1
Set the factor '(2x2 + -1y2)' equal to zero and attempt to solve:

Simplifying
2x2 + -1y2 = 0

Solving
2x2 + -1y2 = 0

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

Add 'y2' to each side of the equation.
2x2 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
2x2 + 0 = 0 + y2
2x2 = 0 + y2
Remove the zero:
2x2 = y2

Divide each side by '2'.
x2 = 0.5y2

Simplifying
x2 = 0.5y2

Take the square root of each side:
x = {-0.707106781y, 0.707106781y}

Subproblem 2
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 3
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 = {-0.707106781y, 0.707106781y, -1y, y}

See similar equations:

| z-8*z+4=-35 | | -6c+9=4c-3-6c | | f(x)=x^4-4x+3x+5minmax | | 9-6+24= | | 10b^2-23b+12=0 | | 51-23= | | 2t+24= | | (5m^2n+2mn^2)+(6mn-2m^2n)+(-mn^2+2mn+m^2n)= | | 5(4d-4+d)6d= | | -(17/9)-(14/8) | | (6x^2)/(x^6) | | y*y-8=-15 | | h^2+18g+81=0 | | 2E^2-21E+10=0 | | 3p^2+14=-19p | | (1/4)+(5/6)+(3/8) | | 0.5(5x-9)=7 | | 20m^2-6n-2=0 | | 2y+2x=q | | (5y+6)-(4+4y)=7 | | (5x+6)-(4x+5)= | | 3y^2=13y+100 | | 6y=-5x+17 | | (4y^2+5y-1)-(2y^2+3y+2)= | | 3m^2+2m=4 | | 20b+90=1000 | | d^2+10d=0 | | 6*5/6=10 | | 4a-8+8a-10=180 | | -101=6(3r-2)+1 | | 5/6*5=10 | | (3x^2-2x+7)+(x^2+5x-11)= |

Equations solver categories