10x^2-66xy-28y^2=

Simple and best practice solution for 10x^2-66xy-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 10x^2-66xy-28y^2= equation: 


Simplifying
10x2 + -66xy + -28y2 = 0

Reorder the terms:
-66xy + 10x2 + -28y2 = 0

Solving
-66xy + 10x2 + -28y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-33xy + 5x2 + -14y2) = 0

Factor a trinomial.
2((x + -7y)(5x + 2y)) = 0

Ignore the factor 2.

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

Simplifying
x + -7y = 0

Solving
x + -7y = 0

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

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

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

Simplifying
x = 7y

Subproblem 2
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
Solution
x = {7y, -0.4y}

See similar equations:

| 4y^3+8y^2+3y= | | 3a^2-10ab-32b^2= | | 5a^2-6ab-32b^2= | | 16y^2-24y+9= | | 4x^2+5x+1= | | y=2-x^2 | | -3(-4-6y)+7(-y+6)=-8 | | -3(-4-6y)7(-y+5)=-8 | | 4=2/3(x+3) | | F^2+25+150=0 | | 1.8+2.8=2.5+2.1 | | 9t-15+=-18 | | 4X-2=158-4X+4 | | 5x^2+9y^2=3 | | 7-55u=-43 | | x+30+x+2+x+3+X=360 | | x+9-(2x)+(x+37)=180 | | x+30+x+2+x+3=360 | | 3u^2+36x-84=0 | | 9-(2x)+x+37+x=180 | | 6-5(3x-2)=1 | | 1.4-x=-6.3 | | 2x-4/2-x=3x+4/2-x | | 2x-1=4x+6 | | 25p^2-81q^2=0 | | 25p^3-81p^2=0 | | 2(x+4)-5=2+3 | | -9x=-3y+9 | | .035+(.3409)(.1026-.035)= | | x^2-0.25x+0.06=0 | | 100x^2-40x+4=0 | | x+30+4x+6x+x=360 |

Equations solver categories