(x+5y)(3x+2y)=

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


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

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

Reorder the terms:
((2xy + 3x2) + 5y * (3x + 2y)) = 0
((2xy + 3x2) + 5y * (3x + 2y)) = 0
(2xy + 3x2 + (3x * 5y + 2y * 5y)) = 0
(2xy + 3x2 + (15xy + 10y2)) = 0

Reorder the terms:
(2xy + 15xy + 3x2 + 10y2) = 0

Combine like terms: 2xy + 15xy = 17xy
(17xy + 3x2 + 10y2) = 0

Solving
17xy + 3x2 + 10y2 = 0

Solving for variable 'x'.

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


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

Simplifying
3x + 2y = 0

Solving
3x + 2y = 0

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

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

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

Divide each side by '3'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

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 = {-0.6666666667y, -5y}

See similar equations:

| Y+5=2y-4 | | f(f(2)+f(3))= | | U=4(x-2) | | 6=20x(V) | | 8x^2+14x+40= | | 2x=-16-24 | | d-(-27)=13 | | 24k-12=24k | | 3.9n+3.21(1-7n)=107.202 | | 5-3(x+6)=9 | | 6n/7+5/3=5n/6 | | 6x+3x-12=3(4x+5) | | 9-2(4x+5)=4 | | -12+4c=6c-19-13 | | 11+1.4x=3x | | 2(x-3)=3(x-7) | | 28+7x=9x | | -47=-5+6x | | -9(3+8h)=-19 | | 15=14-.5m | | 2x^2+6px+p=0 | | -(2-y)+3y=3(y-4) | | 2r^2+1r+13=4 | | 150+25x=45x | | (x^3+8)(x^4-9x^2)=0 | | 6r^2+7r+2=0 | | Y=15x+300 | | 2(1.5n+4)-6=7 | | g^2-20g=-49 | | 2(7-x)-4x=20 | | 7x+3y=6-5 | | 6(3x+10)=18x-3 |

Equations solver categories