y^2+3xy-4x^2=0

Simple and best practice solution for y^2+3xy-4x^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 y^2+3xy-4x^2=0 equation: 


Simplifying
y2 + 3xy + -4x2 = 0

Reorder the terms:
3xy + -4x2 + y2 = 0

Solving
3xy + -4x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4x + -1y)(x + -1y) = 0


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

Simplifying
-4x + -1y = 0

Solving
-4x + -1y = 0

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

Add 'y' to each side of the equation.
-4x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-4x + 0 = 0 + y
-4x = 0 + y
Remove the zero:
-4x = y

Divide each side by '-4'.
x = -0.25y

Simplifying
x = -0.25y

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

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

Add 'y' to each side of the equation.
x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y

Simplifying
x = y
Solution
x = {-0.25y, y}

See similar equations:

| 3(2a+1)=5(a+2) | | 2x^3+3x^2+4=0 | | 2x-7=6x+1 | | 4x+261=14x-9 | | 123-5x=13+21 | | 3(x-2y)-(x-10y)= | | 28x-3x=25 | | 2(2x+2)=20 | | -17-6x=10-9x | | 18y^2+24y+41=0 | | ln(4x-9)+ln(3)=2lnx | | 2(3x+7)+4(3x+2)=6(5x+9)+3 | | 3x+7=4+2x-9 | | 6x^2-7-11x=0 | | 5k-3(1-k)= | | (y-3)(y-3)-10(y-3)+25=0 | | 0.15x+0.07(70000-x)=6000 | | 3(n-2)=5(n+4) | | -3(x-4)=4(8-x) | | 3(x-4)=4(8-x) | | 72-3x=6x+21 | | -3(4x-5)=-9 | | 8m+15=11m | | -2(2x+3)=6 | | 6+7=30+x | | 3a+8b-3a-1b= | | 11y+10=3y-6 | | 5m-3=8m-12 | | 3y-4y-y= | | 9u+3=9l-2u | | 2x^2+8x+19=0 | | 7a+3=5a+1 |

Equations solver categories