(2x+5y)(x-2y)=0

Simple and best practice solution for (2x+5y)(x-2y)=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+5y)(x-2y)=0 equation: 


Simplifying
(2x + 5y)(x + -2y) = 0

Multiply (2x + 5y) * (x + -2y)
(2x * (x + -2y) + 5y * (x + -2y)) = 0
((x * 2x + -2y * 2x) + 5y * (x + -2y)) = 0

Reorder the terms:
((-4xy + 2x2) + 5y * (x + -2y)) = 0
((-4xy + 2x2) + 5y * (x + -2y)) = 0
(-4xy + 2x2 + (x * 5y + -2y * 5y)) = 0
(-4xy + 2x2 + (5xy + -10y2)) = 0

Reorder the terms:
(-4xy + 5xy + 2x2 + -10y2) = 0

Combine like terms: -4xy + 5xy = 1xy
(1xy + 2x2 + -10y2) = 0

Solving
1xy + 2x2 + -10y2 = 0

Solving for variable 'x'.

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


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 '(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
Solution
x = {2y, -2.5y}

See similar equations:

| 5c+7d=87 | | 12x-54=71+7x | | 7x-3y=168 | | 6(n+2)+9=5n | | 0.2a-42=29+0.1a | | 0.5y+16=-0.125y-4 | | -4(x)=x^2-3x+9 | | 3a^3+a^2+5a=-7 | | 49x*x-9=0 | | 3a^3+a^2+5a+7=0 | | 24-0.25x=-0.1x | | -12x^3+25x^2+31x+6=0 | | y=11.5*1.428571429+0.5 | | 5x-1-6x=-11x | | 9x+20=-90-x | | 7x/10*40/100 | | 20+0.5x=x-90 | | 2a+4=6a-6 | | (2x-1)(2x-1)=7 | | 60-p=p-160 | | Tn=6n+2 | | 20-5x=-3x | | 4x-15=2x-2.4 | | y=8*1.428571429+1 | | 8w-2=-3w-13 | | 8x+1=11.5x+0.5 | | 2(-3x+8)=28 | | 21+3y=-64-2y | | 200+2s=s+119 | | 3m-3=-1.8+2m | | Tn=4n-1 | | 3m-3=1.8+2m |

Equations solver categories