(7x-2y)(3x+5y)=

Simple and best practice solution for (7x-2y)(3x+5y)= 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 (7x-2y)(3x+5y)= equation: 


Simplifying
(7x + -2y)(3x + 5y) = 0

Multiply (7x + -2y) * (3x + 5y)
(7x * (3x + 5y) + -2y * (3x + 5y)) = 0
((3x * 7x + 5y * 7x) + -2y * (3x + 5y)) = 0

Reorder the terms:
((35xy + 21x2) + -2y * (3x + 5y)) = 0
((35xy + 21x2) + -2y * (3x + 5y)) = 0
(35xy + 21x2 + (3x * -2y + 5y * -2y)) = 0
(35xy + 21x2 + (-6xy + -10y2)) = 0

Reorder the terms:
(35xy + -6xy + 21x2 + -10y2) = 0

Combine like terms: 35xy + -6xy = 29xy
(29xy + 21x2 + -10y2) = 0

Solving
29xy + 21x2 + -10y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -2y)(3x + 5y) = 0


Subproblem 1
Set the factor '(7x + -2y)' equal to zero and attempt to solve:

Simplifying
7x + -2y = 0

Solving
7x + -2y = 0

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

Add '2y' to each side of the equation.
7x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
7x + 0 = 0 + 2y
7x = 0 + 2y
Remove the zero:
7x = 2y

Divide each side by '7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y

Subproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {0.2857142857y, -1.666666667y}

See similar equations:

| 7+3d-5=d+2d-12 | | -0.3x-0.6x=-1.44 | | -55=21x-37-3x | | n-3.24=42.1 | | 8(p+5)=35+8p | | 2x-15=-2x+1 | | -.5w-.6=.20w | | x(x)18=54 | | -5x+3+6x=12-31 | | 4(7-2x)=27-3(2x+1) | | (11x+11)*2=(2x+12)*6 | | 100+9X+15+20=180 | | 18n-20+3y=18 | | 12z=6z-11+5z | | 3+x+8=0 | | 4(2m-n)-3=(2m-n) | | -2[x+3(5-x)]-5(x-7)=0 | | -5y+6=-9 | | 4.5+1.3x=2.3x | | 4(2m-n)=(2m-n) | | 6*x^2+940000-x^3=0 | | 4x+7=5+6x | | 13x^2-8x^2=0 | | 8m+1=8m | | y=16x^2+32x+48 | | 2=n-4 | | 6x+3y=5fory | | x^2+40x-20=0 | | 6(3+t)-4(t+2)= | | x^2-4y+2xy+124=0 | | -14+39=10-a | | 34x+y=212 |

Equations solver categories