2(5x-y)(3x-0.5y)=0

Simple and best practice solution for 2(5x-y)(3x-0.5y)=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 2(5x-y)(3x-0.5y)=0 equation: 


Simplifying
2(5x + -1y)(3x + -0.5y) = 0

Multiply (5x + -1y) * (3x + -0.5y)
2(5x * (3x + -0.5y) + -1y * (3x + -0.5y)) = 0
2((3x * 5x + -0.5y * 5x) + -1y * (3x + -0.5y)) = 0

Reorder the terms:
2((-2.5xy + 15x2) + -1y * (3x + -0.5y)) = 0
2((-2.5xy + 15x2) + -1y * (3x + -0.5y)) = 0
2(-2.5xy + 15x2 + (3x * -1y + -0.5y * -1y)) = 0
2(-2.5xy + 15x2 + (-3xy + 0.5y2)) = 0

Reorder the terms:
2(-2.5xy + -3xy + 15x2 + 0.5y2) = 0

Combine like terms: -2.5xy + -3xy = -5.5xy
2(-5.5xy + 15x2 + 0.5y2) = 0
(-5.5xy * 2 + 15x2 * 2 + 0.5y2 * 2) = 0
(-11xy + 30x2 + 1y2) = 0

Solving
-11xy + 30x2 + 1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -1y)(6x + -1y) = 0


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

Simplifying
5x + -1y = 0

Solving
5x + -1y = 0

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

Add 'y' to each side of the equation.
5x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
5x + 0 = 0 + y
5x = 0 + y
Remove the zero:
5x = y

Divide each side by '5'.
x = 0.2y

Simplifying
x = 0.2y

Subproblem 2
Set the factor '(6x + -1y)' equal to zero and attempt to solve:

Simplifying
6x + -1y = 0

Solving
6x + -1y = 0

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

Add 'y' to each side of the equation.
6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
6x + 0 = 0 + y
6x = 0 + y
Remove the zero:
6x = y

Divide each side by '6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y
Solution
x = {0.2y, 0.1666666667y}

See similar equations:

| 2x^2-10=40 | | X+y+4z=6 | | 3/(a+1)-2/(a2-1) | | x+3(x^2/100)-x+39 | | 7-4x=10x-3 | | 3In(3x)+3In(x)=1.5 | | 3In(4x)+In(x)=1.5 | | v=0.9e^5(0.4) | | 3x^2-y^2=2015 | | (m-4x)/5m+5m/(3m+4x) | | -6x^2+6x-6=0 | | 0=4x^2+68x+280 | | 15*15=0 | | 16-16x=x | | ((2d+7)/6)+((d+5)/3)=0 | | (2d+7)/6 | | 7/10*5/7= | | 7/10x5/7= | | 500/360 | | 2x^8=256 | | 3x-(-2x+6)=4-2x(x-4)+x | | 7/3x=0 | | 0x=-33 | | 2x+[x-40]=7X | | logx+3logy=3/2 | | logx+3logy+3/2 | | 0.3=(x/100)*5.4 | | 15x+3x=15+9-12x | | x+17=3x-11 | | X+20+4x=-32-4x-38 | | VC=Q^3-15/2*Q^2+200*Q | | ax-7=x+a |

Equations solver categories