20x^2-9xy-20y^2=0

Simple and best practice solution for 20x^2-9xy-20y^2=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 20x^2-9xy-20y^2=0 equation: 


Simplifying
20x2 + -9xy + -20y2 = 0

Reorder the terms:
-9xy + 20x2 + -20y2 = 0

Solving
-9xy + 20x2 + -20y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -5y)(5x + 4y) = 0


Subproblem 1
Set the factor '(4x + -5y)' equal to zero and attempt to solve:

Simplifying
4x + -5y = 0

Solving
4x + -5y = 0

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

Add '5y' to each side of the equation.
4x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 0 + 5y
4x = 0 + 5y
Remove the zero:
4x = 5y

Divide each side by '4'.
x = 1.25y

Simplifying
x = 1.25y

Subproblem 2
Set the factor '(5x + 4y)' equal to zero and attempt to solve:

Simplifying
5x + 4y = 0

Solving
5x + 4y = 0

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 0 + -4y
5x = 0 + -4y
Remove the zero:
5x = -4y

Divide each side by '5'.
x = -0.8y

Simplifying
x = -0.8y
Solution
x = {1.25y, -0.8y}

See similar equations:

| a+8=-17 | | (2x-7)(x^2-9)=0 | | 40x^2+130xy-225y^2=0 | | 24a^2+44a-140=0 | | -4-36= | | 0=x^2+6x+8 | | 6x-4=-40 | | 10x=60 | | 15x^3+72x^2-15x=0 | | 98-4g=11g | | 58-x=20 | | 9x^3+24x^2+15x=0 | | v=57-2v | | -4-4m=36 | | x^4+11x^2-45=0 | | 14=5x+34 | | 15x^3-11x^2-4x=0 | | 2p=90-8p | | 37=17-2x | | 12=-14x-2 | | 48x^2+116x+60=0 | | Y^3-11y^2+24=0 | | -35-65n-10n^2=0 | | 9m=7m+16 | | -x^2=15x+30 | | Y^3-11y^2+28=0 | | 26=-7x-2 | | 5t^2=225 | | 48-16+e^2=0 | | 7x^2+47x-14=0 | | 2+3r+r^2=0 | | y=-5t^2+15t+20 |

Equations solver categories