3x^2+35xy-82y^2=0

Simple and best practice solution for 3x^2+35xy-82y^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 3x^2+35xy-82y^2=0 equation: 


Simplifying
3x2 + 35xy + -82y2 = 0

Reorder the terms:
35xy + 3x2 + -82y2 = 0

Solving
35xy + 3x2 + -82y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -2y)(3x + 41y) = 0


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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y

Subproblem 2
Set the factor '(3x + 41y)' equal to zero and attempt to solve:

Simplifying
3x + 41y = 0

Solving
3x + 41y = 0

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

Add '-41y' to each side of the equation.
3x + 41y + -41y = 0 + -41y

Combine like terms: 41y + -41y = 0
3x + 0 = 0 + -41y
3x = 0 + -41y
Remove the zero:
3x = -41y

Divide each side by '3'.
x = -13.66666667y

Simplifying
x = -13.66666667y
Solution
x = {2y, -13.66666667y}

See similar equations:

| 20x^2-15x=0 | | 8a+3=-12 | | 6.5a+5=2.5a+13 | | 8x-2=4+5x | | 2.75-7.75(5-2r)=26 | | 4(x+2)+2x=32 | | 3x-14+32=54 | | (3x+37)+(7x+9)= | | 2x^2+3x=8 | | 6/7*1/9= | | 11x+2(4-3x)=3(3-x)+15 | | 2.75-7.75(5-2n)=2n | | 4c/9-5/9= | | 8z=-56 | | -0.065= | | 30b+50b= | | 6(x-10)+16=-4+x-50 | | 134=7c-10+5c | | -4(1+3x)=-4(1-5x) | | 40n+32= | | -6/35/30/7= | | -48=6y | | u^2+3u-28=0 | | 2x+5=8x+4 | | 3x-7x-6=0 | | 3x+3x-90=0 | | -2(3x-5)+9=-23 | | -2(-2m+1)=-2+4m | | xy-bx+ay-ab=0 | | 4m^4n+6m^3n-16m^2n^2-24mn^2=0 | | 12.5p+8=4.5p+28 | | 5x+4-2x=26-3 |

Equations solver categories