2x^2+5xy-25y^2=0

Simple and best practice solution for 2x^2+5xy-25y^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 2x^2+5xy-25y^2=0 equation: 


Simplifying
2x2 + 5xy + -25y2 = 0

Reorder the terms:
5xy + 2x2 + -25y2 = 0

Solving
5xy + 2x2 + -25y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2x + -5y)' equal to zero and attempt to solve:

Simplifying
2x + -5y = 0

Solving
2x + -5y = 0

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

Add '5y' to each side of the equation.
2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2x + 0 = 0 + 5y
2x = 0 + 5y
Remove the zero:
2x = 5y

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y

Subproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve:

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {2.5y, -5y}

See similar equations:

| 1a+5=-5a+5 | | (3+2)(4+5x)=10-4.5(x+3) | | 8x(x-2)=1+8x | | 10n=3+9n | | -3(m-2n)=5m(m) | | 3W+7=-14 | | -22-8x=-8(2x+5) | | 3x+42-6x=2-9x+4 | | f=s^2 | | 2(3x-13)=35-3(x+4) | | 13-12z=22+9 | | 5x^2+41-36=0 | | x(x+1)(x+2)=0 | | 11x+14-4x=-5x-5+x | | x^3+3x^2+2x=1320 | | -5(2v+2)+6(v-6)=-22 | | 28+x=6 | | 6x=12x+2x | | x^4-2x^2-1=0 | | x^2-9x-81=-8 | | 11=42-x | | -3=-3(2t-2) | | x-37=10 | | x^2-rx-2x+4=0 | | 144=(-60+-12x) | | x-(-17)=7 | | 6(1+4k)=-5k+6 | | X=-12+3x | | 2y(-3+4)=22 | | x(x-4)-3(1+2x)= | | x-(-18)=-2 | | 5x^3-15x^2-20x=0 |

Equations solver categories