21x^2-14xy-7y^2=0

Simple and best practice solution for 21x^2-14xy-7y^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 21x^2-14xy-7y^2=0 equation:


Simplifying
21x2 + -14xy + -7y2 = 0

Reorder the terms:
-14xy + 21x2 + -7y2 = 0

Solving
-14xy + 21x2 + -7y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-2xy + 3x2 + -1y2) = 0

Factor a trinomial.
7((x + -1y)(3x + y)) = 0

Ignore the factor 7.

Subproblem 1

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

Subproblem 2

Set the factor '(3x + y)' equal to zero and attempt to solve: Simplifying 3x + y = 0 Solving 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333y

Solution

x = {y, -0.3333333333y}

See similar equations:

| 4+2x=-18 | | 7y-34=5y | | 80+8x= | | -4y=-12+6y | | 17+2a=1 | | 4(x-5)-2(-3x-1)= | | 3k-27=21 | | 10+5n=3n+18 | | 5+-x+-2=3+4x+5 | | 30-2n=10 | | 50=8 | | 2(3x-1)=3(5x-7) | | 6x=3.5(x+1) | | 42(w+11)=(w+23)28 | | -2(m-2)+7(m-8)=-67 | | (-34)=v+42-5v | | 4x+40=4 | | 6(12)= | | 48x=54(17-x) | | 2[x-3]=1.2-x | | 8k-7=7k-2 | | 12x+81=3x+7 | | 6x=4x+80 | | 3w+w=36 | | -a-5(a-1)=39-7a | | 2(8x-10)+12x=b | | 40(x+1)=10x | | 10-6(x-15)=10(10x-15) | | -8-6n-7n=-34 | | 2(2x+5)=8x-4 | | 8(2X+8)=12-(X+4) | | 5-3s=41 |

Equations solver categories