(x+5y)(7x+3y)=0

Simple and best practice solution for (x+5y)(7x+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 (x+5y)(7x+3y)=0 equation: 


Simplifying
(x + 5y)(7x + 3y) = 0

Multiply (x + 5y) * (7x + 3y)
(x(7x + 3y) + 5y * (7x + 3y)) = 0
((7x * x + 3y * x) + 5y * (7x + 3y)) = 0

Reorder the terms:
((3xy + 7x2) + 5y * (7x + 3y)) = 0
((3xy + 7x2) + 5y * (7x + 3y)) = 0
(3xy + 7x2 + (7x * 5y + 3y * 5y)) = 0
(3xy + 7x2 + (35xy + 15y2)) = 0

Reorder the terms:
(3xy + 35xy + 7x2 + 15y2) = 0

Combine like terms: 3xy + 35xy = 38xy
(38xy + 7x2 + 15y2) = 0

Solving
38xy + 7x2 + 15y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 3y)(x + 5y) = 0


Subproblem 1
Set the factor '(7x + 3y)' equal to zero and attempt to solve:

Simplifying
7x + 3y = 0

Solving
7x + 3y = 0

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

Add '-3y' to each side of the equation.
7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
7x + 0 = 0 + -3y
7x = 0 + -3y
Remove the zero:
7x = -3y

Divide each side by '7'.
x = -0.4285714286y

Simplifying
x = -0.4285714286y

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 = {-0.4285714286y, -5y}

See similar equations:

| y+a=c | | 3x^2+4x-12=27 | | 49*51+49*49= | | 5=6(a-5)-10 | | y*y+28y-160=0 | | 8=b+a | | 11x*2-9x=0 | | 2y-8=12y+12 | | 5+2(3-1)=x-(1+2) | | y+-9=36 | | 28x-6=-34 | | p+(-3)=(-10) | | z=-8q^2 | | 60026+ 99057 + 33282 + 80729 + 97468 = | | h(t)=-t^2+6t+25 | | 180=x+3+65+25 | | r=x-h | | 0.8m-4=-0.8m | | x*2+2x-120=0 | | (6x+5)+(2x-9)=180 | | -3x+60=30 | | -3x+3=-4x+10 | | 1a-2(a+8)=6 | | 15n+16+4n=38 | | 5y+2(3y-1)=9y-(y+2) | | 5k+2.9= | | -3x-9-2x=-29 | | -20.4t=5.7t^2+36 | | 6(6x+17)=415 | | 4y=20-8y | | 3x(-5)=7x*2-16x | | 3x+4.3=8.8 |

Equations solver categories