=6x^2+41xy-7y^2

Simple and best practice solution for =6x^2+41xy-7y^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 =6x^2+41xy-7y^2 equation: 


Simplifying
0 = 6x2 + 41xy + -7y2

Reorder the terms:
0 = 41xy + 6x2 + -7y2

Solving
0 = 41xy + 6x2 + -7y2

Solving for variable 'x'.
Remove the zero:
-41xy + -6x2 + 7y2 = 41xy + 6x2 + -7y2 + -41xy + -6x2 + 7y2

Reorder the terms:
-41xy + -6x2 + 7y2 = 41xy + -41xy + 6x2 + -6x2 + -7y2 + 7y2

Combine like terms: 41xy + -41xy = 0
-41xy + -6x2 + 7y2 = 0 + 6x2 + -6x2 + -7y2 + 7y2
-41xy + -6x2 + 7y2 = 6x2 + -6x2 + -7y2 + 7y2

Combine like terms: 6x2 + -6x2 = 0
-41xy + -6x2 + 7y2 = 0 + -7y2 + 7y2
-41xy + -6x2 + 7y2 = -7y2 + 7y2

Combine like terms: -7y2 + 7y2 = 0
-41xy + -6x2 + 7y2 = 0

Factor a trinomial.
(-1x + -7y)(6x + -1y) = 0


Subproblem 1
Set the factor '(-1x + -7y)' equal to zero and attempt to solve:

Simplifying
-1x + -7y = 0

Solving
-1x + -7y = 0

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

Add '7y' to each side of the equation.
-1x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
-1x + 0 = 0 + 7y
-1x = 0 + 7y
Remove the zero:
-1x = 7y

Divide each side by '-1'.
x = -7y

Simplifying
x = -7y

Subproblem 2
Set the factor '(6x + -1y)' equal to zero and attempt to solve:

Simplifying
6x + -1y = 0

Solving
6x + -1y = 0

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

Add 'y' to each side of the equation.
6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
6x + 0 = 0 + y
6x = 0 + y
Remove the zero:
6x = y

Divide each side by '6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y
Solution
x = {-7y, 0.1666666667y}

See similar equations:

| M=2n+7forn | | 0=2/3x-1 | | 5x^4-4x^3-20x^2+16x=0 | | 2100x=100 | | 4c=-10+3c | | -2+6=-33 | | ((X-4)/4) | | f(x)=18x-(1/5)x^2-280 | | 15x+4=8x-5 | | -5(2a-3b)=30 | | m^55/m^30 | | 2304+x^2=2500 | | ((X-4)/4)/.33 | | 4(c+1)+2c=7+3(c+1) | | (7b-9)-3(2b+3)=-2 | | (5x+4)=3x-2 | | 5x-7=13+4x | | 2x^4+9x^2+1=0 | | 2k*3k=15 | | .9=(x-4)/4)/(.33) | | x-2=3.4 | | 14n-6n= | | 3(-x+4)-8=2x | | 8-6x-2y=0 | | d^2+d-5=1 | | 2.1x+0.9=7.2 | | 15x+2y=78 | | 2x-5=3(2-3x)-4 | | 3(d-4)=5(d+2) | | .9=(x-4)/4 | | 10=2+2(4) | | 5(a-4)-15=3(a+8)+4 |

Equations solver categories