(3x-4y)(2x+7y)=

Simple and best practice solution for (3x-4y)(2x+7y)= 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 (3x-4y)(2x+7y)= equation: 


Simplifying
(3x + -4y)(2x + 7y) = 0

Multiply (3x + -4y) * (2x + 7y)
(3x * (2x + 7y) + -4y * (2x + 7y)) = 0
((2x * 3x + 7y * 3x) + -4y * (2x + 7y)) = 0

Reorder the terms:
((21xy + 6x2) + -4y * (2x + 7y)) = 0
((21xy + 6x2) + -4y * (2x + 7y)) = 0
(21xy + 6x2 + (2x * -4y + 7y * -4y)) = 0
(21xy + 6x2 + (-8xy + -28y2)) = 0

Reorder the terms:
(21xy + -8xy + 6x2 + -28y2) = 0

Combine like terms: 21xy + -8xy = 13xy
(13xy + 6x2 + -28y2) = 0

Solving
13xy + 6x2 + -28y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -4y)(2x + 7y) = 0


Subproblem 1
Set the factor '(3x + -4y)' equal to zero and attempt to solve:

Simplifying
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y

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

Simplifying
2x + 7y = 0

Solving
2x + 7y = 0

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

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

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

Divide each side by '2'.
x = -3.5y

Simplifying
x = -3.5y
Solution
x = {1.333333333y, -3.5y}

See similar equations:

| -m/3=-9 | | 4.33(3f)+3.42f=49.23 | | 2(2+5)= | | Yx/a/x-y/x | | 2(1+5)= | | 1/x-y | | 2n-6+7n-6=9n | | -7/8-1/2p=3/4 | | (3x+5)(2x+8)=0 | | 2m+4n+7m+8n= | | -5[4-(3b+5)]=6-5(3b+8) | | x/3-7=-5 | | 3/2÷1/4 | | x-27=1 | | 4(9r+2)=6(1+6r)-10 | | x/8-2=-13 | | 9x^2+21-20=0 | | 8b+7=5b+9 | | -3x/12=2/3 | | 2x-5=13-2x | | x+32=x+50 | | 3=(2x^2)+5x | | Y=3x^2-75 | | -19+4=-1/2z+1/4z-1/8z | | -6/b-1=-9/7 | | abs(8-5x)=7 | | a^2-13a=-40 | | t=53-29x | | 6p-1p+9p=-5+1 | | 5x+8-3x=6x-8 | | 12-(x+6)=4x-4 | | 5z+9=-23 |

Equations solver categories