15x^2+xy-40y^2=0

Simple and best practice solution for 15x^2+xy-40y^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 15x^2+xy-40y^2=0 equation: 


Simplifying
15x2 + xy + -40y2 = 0

Reorder the terms:
xy + 15x2 + -40y2 = 0

Solving
xy + 15x2 + -40y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -8y)(3x + 5y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {1.6y, -1.666666667y}

See similar equations:

| xsquared=-4 | | -12=-p | | -8=32-5y | | 7-1b=21 | | x^4-2x^2-4=0 | | 0.50(4)+0.20(9.0-x)=3.00 | | 11z-9z= | | 2x+3-6(x+1)=4x+2 | | 2=-b/7-10 | | 49x^2-42x+42=0 | | 11(z+2)-4(z-3)=2(z-3)+4(z-4) | | x+16=-25 | | .66*n=10 | | -4n-6=n+8 | | 500+100(x+2)=700 | | x/2+17+x-33 | | 4x+17=2x-19 | | 51x^2-8x-3=0 | | 4x-y+14=0 | | -9y=-36 | | 6(x+4)-3(x+6)=6(x-5) | | 16x^2-5=20 | | 4x+17=2x-9 | | -2x+5=5x+12 | | (4+3i)(2-5i)= | | x+14=37 | | 10(x+5)=2(x+9) | | 5x-5=5x-9 | | 6+6x=5x+12 | | 5x-7=7-17 | | 6(3x-9)-4=6(x-2)+14 | | 0.50x+0.20(9.0-x)=3.00 |

Equations solver categories