3x^2+11xy-20y^2=0

Simple and best practice solution for 3x^2+11xy-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 3x^2+11xy-20y^2=0 equation: 


Simplifying
3x2 + 11xy + -20y2 = 0

Reorder the terms:
11xy + 3x2 + -20y2 = 0

Solving
11xy + 3x2 + -20y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -4y)(x + 5y) = 0


Subproblem 1
Set the factor '(3x + -4y)' equal to zero and attempt to solve:

Simplifying
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

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

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

Simplifying
x = -5y
Solution
x = {1.333333333y, -5y}

See similar equations:

| 7x(x+3)=9x | | 8-7t=32+t | | 3p-156+9p^2=0 | | 8x+16=15x+9 | | (a)^a/b | | 19x=60x | | 4p-120+12p^2=0 | | F=8y-n/y | | 8y-8=8y | | y=5Inx^3 | | -16t^2+150t+60=0 | | 4w^2+-3w+-10=0 | | 5/2.5=5x | | 5x+12-7x=10+4x-8 | | 10x^3-x^2-9x=0 | | 3+n-10=-30 | | 0.3z-0.02z+0.2=1.18 | | 4g=4-7 | | 8(a+2)+2(2+3a)=0 | | p-p^2=.32 | | (6x-10)+(3x+11)=2x-14 | | 6-4x=8x | | 2cos(2t)-2sin(t)=0 | | 6q-5+4q+9= | | B+8+3b=74 | | 61x=177 | | 4x^2-32x-76=0 | | 5x^2-55x+90= | | h(t)=-16t^2+vot+33o | | (5x+7)(2x^2-17x+35)=0 | | y=33+9x | | 33(t)=16t^2+vot+33o |

Equations solver categories