5x^2-42xy-80y^2=0

Simple and best practice solution for 5x^2-42xy-80y^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 5x^2-42xy-80y^2=0 equation: 


Simplifying
5x2 + -42xy + -80y2 = 0

Reorder the terms:
-42xy + 5x2 + -80y2 = 0

Solving
-42xy + 5x2 + -80y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -10y)(5x + 8y) = 0


Subproblem 1
Set the factor '(x + -10y)' equal to zero and attempt to solve:

Simplifying
x + -10y = 0

Solving
x + -10y = 0

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

Add '10y' to each side of the equation.
x + -10y + 10y = 0 + 10y

Combine like terms: -10y + 10y = 0
x + 0 = 0 + 10y
x = 0 + 10y
Remove the zero:
x = 10y

Simplifying
x = 10y

Subproblem 2
Set the factor '(5x + 8y)' equal to zero and attempt to solve:

Simplifying
5x + 8y = 0

Solving
5x + 8y = 0

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

Add '-8y' to each side of the equation.
5x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
5x + 0 = 0 + -8y
5x = 0 + -8y
Remove the zero:
5x = -8y

Divide each side by '5'.
x = -1.6y

Simplifying
x = -1.6y
Solution
x = {10y, -1.6y}

See similar equations:

| 3.8n=1.4n+18 | | 2r^2-10r-20=8 | | 5-7[2x-3(x+4)]=6(2x-3)-4 | | 7z-2=5z-18 | | -3(8t+8)= | | X/12.5=5 | | y+6=8 | | -42z*2=14z | | 94=13*2x | | s^3-6s^2-9s+54=0 | | t^2+13t+40= | | -6x+4(5-4x)=5(6x+4) | | 12=-6-4y | | 7x^2+73xy+90y^2=0 | | 4b+2g=120 | | y=cos(2x^4-6) | | 2/3k-5-7 | | cos(2x^4-6)=0 | | 8n+6=1-2n | | m+(5+m)-2=74 | | -9x/4 | | h=16t^2+8t+80 | | 6t^2+22=34 | | 14-4y=12 | | 30x-5=x-18 | | ×-2/2=-12/11 | | 3r^2+8r=21 | | 3x-6/5 | | 30x-5=x+18 | | (1/15)x=4 | | -2/3r=-6 | | 5(2x)=8 |

Equations solver categories