10x^2+31xy-14y^2=0

Simple and best practice solution for 10x^2+31xy-14y^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 10x^2+31xy-14y^2=0 equation: 


Simplifying
10x2 + 31xy + -14y2 = 0

Reorder the terms:
31xy + 10x2 + -14y2 = 0

Solving
31xy + 10x2 + -14y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(2x + 7y)' equal to zero and attempt to solve:

Simplifying
2x + 7y = 0

Solving
2x + 7y = 0

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

Add '-7y' to each side of the equation.
2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2x + 0 = 0 + -7y
2x = 0 + -7y
Remove the zero:
2x = -7y

Divide each side by '2'.
x = -3.5y

Simplifying
x = -3.5y
Solution
x = {0.4y, -3.5y}

See similar equations:

| 11x-5x-28=62 | | -50-3x-7x=100 | | r=5g+5u | | -5x+y=2 | | -4x+11x-101=32 | | 6x-(3x+9)=17 | | 9x-108+x=122 | | 20-3x=2x-8x+50 | | 100000000x+1=190x | | -x^2+2x+24= | | 3x-7x+35=15-2x | | 1+(-3a)+(-1)*(-3)+(-2a)=1 | | 2Y=50 | | 2x-1=4+5x | | 3+Y=9-3 | | 9x+10y=4 | | X^2+12x-225=0 | | 5x^2+225=0 | | 3x=4x-14 | | (3x+2)(2x^2-11x+14)=0 | | (5x+4)(2x^2-7x+5)=0 | | 3x+12=2x+18 | | r^2=6r | | X+14=92 | | x^2-26=-11x | | t^2+7t+10=0 | | -4b=12+8a | | 3(t-8)+6(t-12)=12 | | -4(2y-2)-y=-2(y-5) | | s^2-8s+16=0 | | a^2=-27-12a | | -4a+(-2b)+1-4a-2b=13 |

Equations solver categories