30x^2+38xy-20y^2=0

Simple and best practice solution for 30x^2+38xy-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 30x^2+38xy-20y^2=0 equation: 


Simplifying
30x2 + 38xy + -20y2 = 0

Reorder the terms:
38xy + 30x2 + -20y2 = 0

Solving
38xy + 30x2 + -20y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(19xy + 15x2 + -10y2) = 0

Factor a trinomial.
2((5x + -2y)(3x + 5y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5x + -2y)' equal to zero and attempt to solve:

Simplifying
5x + -2y = 0

Solving
5x + -2y = 0

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

Add '2y' to each side of the equation.
5x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
5x + 0 = 0 + 2y
5x = 0 + 2y
Remove the zero:
5x = 2y

Divide each side by '5'.
x = 0.4y

Simplifying
x = 0.4y

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 = {0.4y, -1.666666667y}

See similar equations:

| 5y+8+7y= | | 14x^4-43x^3+33x^2=0 | | 6(2m-5)+2=20 | | -12-3k+2=2k-10-k | | 360x^3-280x^2-165x=92 | | 9+.5(7n-26)-8n= | | (-4+6i)-(-3+12i)=0 | | (1+i)+(7-4i)=0 | | X(x-1)=600000 | | (-4+i)+(i-4)=0 | | (9+2i)+(3-i)=0 | | -3x-5y=-11 | | 33x=6 | | 2b+18=60 | | 16x+2y=54 | | -13x+7(-3x-1)=-63 | | T(n)=6+3(n-1) | | log^2x=5.8 | | 4p-29=-41 | | v=(9)+2(-9.81)(0.2) | | 4p-29=-41p | | v=(36)+2(-9.81)(0.2) | | b+5b= | | 64-4=23-3y | | 2x+50=7x+30 | | (x-3)(x+10)=0 | | v=(4)+2(-9.81)(0.2) | | lnx+ln(x+10)=6 | | v=(16)+2(-9.81)(0.2) | | 8.2x-2.3x=94.4 | | v=(4)+2(-9.81)(0.4) | | 5z-6z+4-3= |

Equations solver categories