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

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


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

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

Reorder the terms:
((-15xy + 10x2) + -2y * (2x + -3y)) = 0
((-15xy + 10x2) + -2y * (2x + -3y)) = 0
(-15xy + 10x2 + (2x * -2y + -3y * -2y)) = 0
(-15xy + 10x2 + (-4xy + 6y2)) = 0

Reorder the terms:
(-15xy + -4xy + 10x2 + 6y2) = 0

Combine like terms: -15xy + -4xy = -19xy
(-19xy + 10x2 + 6y2) = 0

Solving
-19xy + 10x2 + 6y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -3y)(5x + -2y) = 0


Subproblem 1
Set the factor '(2x + -3y)' equal to zero and attempt to solve:

Simplifying
2x + -3y = 0

Solving
2x + -3y = 0

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

Add '3y' to each side of the equation.
2x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 = 0 + 3y
2x = 0 + 3y
Remove the zero:
2x = 3y

Divide each side by '2'.
x = 1.5y

Simplifying
x = 1.5y

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 = {1.5y, 0.4y}

See similar equations:

| 7x-3y=90 | | 6y-8-3y+4=0 | | 9x-14=x+74 | | 2x+4x=3 | | -3x+7=2 | | -3x+7=6 | | 9.4x=3e-3x | | 180=40+3x+x | | 12(3x-5)=3(12x+8) | | 3x+10=5x-12 | | -2x(3x+5)(2x+3)= | | 3/4-2x/3=5x/6+1/2 | | -11=z-(15) | | x+21=x+71 | | n(4n-5)(3n+1)=0 | | 5y+10-2y+6=0 | | -4[8c+2]-52=100 | | -15+27=-4(c+5) | | 3(9-5)=2(q+5) | | 8[3t+2]-60=28 | | 16+4x=5x+10 | | 6a+12=-18 | | (a+3)(a-3)=(a+6)(a-5) | | 8(4U-1)-12U=11(2u-6)-u | | 7x-21=4x-36 | | 8(4U-1)-12U=11(2u-6)-Y | | 20x-6=40x+2 | | 7[2n+3]=91 | | 6a+12=10 | | -8x+23=2x-37 | | lnx+ln(x+2)=0 | | -3+5=7 |

Equations solver categories