=2x^2+7xy-4y^2

Simple and best practice solution for =2x^2+7xy-4y^2 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 =2x^2+7xy-4y^2 equation: 


Simplifying
0 = 2x2 + 7xy + -4y2

Reorder the terms:
0 = 7xy + 2x2 + -4y2

Solving
0 = 7xy + 2x2 + -4y2

Solving for variable 'x'.
Remove the zero:
-7xy + -2x2 + 4y2 = 7xy + 2x2 + -4y2 + -7xy + -2x2 + 4y2

Reorder the terms:
-7xy + -2x2 + 4y2 = 7xy + -7xy + 2x2 + -2x2 + -4y2 + 4y2

Combine like terms: 7xy + -7xy = 0
-7xy + -2x2 + 4y2 = 0 + 2x2 + -2x2 + -4y2 + 4y2
-7xy + -2x2 + 4y2 = 2x2 + -2x2 + -4y2 + 4y2

Combine like terms: 2x2 + -2x2 = 0
-7xy + -2x2 + 4y2 = 0 + -4y2 + 4y2
-7xy + -2x2 + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-7xy + -2x2 + 4y2 = 0

Factor a trinomial.
(-1x + -4y)(2x + -1y) = 0


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

Simplifying
-1x + -4y = 0

Solving
-1x + -4y = 0

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

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

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

Divide each side by '-1'.
x = -4y

Simplifying
x = -4y

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

Simplifying
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {-4y, 0.5y}

See similar equations:

| 16x+5y=180 | | (1/3)(3y+12)-6=(-1/6)(12y-42) | | 4x^2-29+30=0 | | k/7=k/8+1 | | x+31/4=21/5 | | (9/2)(u+3)=(1/2)-u | | 6(x-4)+6=3(x-4) | | 3(x-1)-2(x+2)=5(x+2)+1 | | 8[4-(5+2x)]-4x=-10+2(1-10x) | | 0.3x-0.9(4-x)=-0.6 | | (1/3d)+(2/5)=(1/5)+(8/5d) | | 13x=12x-7 | | 585.00+0.13m=850.00 | | x+8/8=-3x+4/5 | | 5w+2=2(w-8) | | (9/10x)-1=(-19/20x)+4 | | -1/8(56x-48y) | | 4x+1y=57 | | 585.00+0.13m=850 | | 9x=3(6+15) | | 2x+4829268= | | 7(3x-1)-4(3x-4)=2(4x+4)-6 | | x/12=x/13-7 | | -3(5s-2)-6=-2(9s+8)-2 | | x/12=x/(13)-7 | | 4z-3(7+3)=-1 | | xrt^6=y | | 4z-19-z+4=0 | | 17-(1/5)(20z+45)=-5z-15 | | 3/2x+3 | | -[4z-(12z+2)]=2-(7z+8) | | 6=3y+5 |

Equations solver categories