12x^2-38xy+28y^2=

Simple and best practice solution for 12x^2-38xy+28y^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 12x^2-38xy+28y^2= equation:


Simplifying
12x2 + -38xy + 28y2 = 0

Reorder the terms:
-38xy + 12x2 + 28y2 = 0

Solving
-38xy + 12x2 + 28y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-19xy + 6x2 + 14y2) = 0

Factor a trinomial.
2((x + -2y)(6x + -7y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2y

Subproblem 2

Set the factor '(6x + -7y)' equal to zero and attempt to solve: Simplifying 6x + -7y = 0 Solving 6x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667y

Solution

x = {2y, 1.166666667y}

See similar equations:

| 12-3w+7=-7w+14-9 | | 6x^2+29xy-42y^2= | | 56-7x+2=-2x+6-6 | | 4a(a+3)-(4a^2-2a)= | | 4a(a+3)= | | 42+(-54)= | | -27+(-30)= | | 94=5v+14 | | 8x+9y+3+2z-5y+10= | | 2(x-6)+3=17 | | 1.175+11.1= | | lx+3l=5 | | -11x-10+19=0 | | 27x+18=25x+30 | | x-y+z=4 | | 30x+20=5 | | x+2y=60 | | 10t-16=6t-10 | | 25x-2=50+3 | | 4(y+3)=3y+16 | | 100+2x=200 | | 9x=9x-15 | | 6x^2-120x+600=0 | | x^3-5x^2+10=0 | | 4x*4y= | | 10X+20=5-10 | | 4(3x+6)=3(5x-2) | | (a-b)*(a+3b)-(a-3b)*(a-2b)=7a | | 4(4x+3)-6(x-3)=18-2x | | 2x+1y=28 | | 2x-5=[3x-5] | | (2x+y)*(x-3y)=2y |

Equations solver categories