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

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


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

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

Reorder the terms:
((-14xy + 8x2) + 3y * (4x + -7y)) = 0
((-14xy + 8x2) + 3y * (4x + -7y)) = 0
(-14xy + 8x2 + (4x * 3y + -7y * 3y)) = 0
(-14xy + 8x2 + (12xy + -21y2)) = 0

Reorder the terms:
(-14xy + 12xy + 8x2 + -21y2) = 0

Combine like terms: -14xy + 12xy = -2xy
(-2xy + 8x2 + -21y2) = 0

Solving
-2xy + 8x2 + -21y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(4x + -7y)' equal to zero and attempt to solve:

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

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

Add '7y' to each side of the equation.
4x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = 0 + 7y
4x = 0 + 7y
Remove the zero:
4x = 7y

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y

Subproblem 2
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
Solution
x = {1.75y, -1.5y}

See similar equations:

| r/7-50=20 | | p-13+p=p+48 | | (2x+3y)(4y-7y)= | | 7x^2-57x+108=0 | | 3c^3+9c^2-54c=0 | | 10x-21=2(2x) | | 5(x+4)=40+30 | | 6x^2-183x+350=0 | | p-1+p+10=p+41 | | 3xy-9y=12 | | 2(x-3)-8=21-3x | | 4x=112for | | 3x-1=5-4 | | 2x(4y)-y=80 | | x-5=53-12(x+7) | | X/7=(x-3)/5 | | 3(8c-4)-20c=12 | | 3n^2+5n+6=5n^2+2n+-2n^2+18 | | -x+12-4x=-23 | | 14-9x=7+40x | | 4x-5=22-5x | | x-30=27-2x | | x+3+x-8+6=55 | | 18+-7*32-6= | | 5x^2-x-15=3x^2+1 | | -20v+20=-20 | | x-8+8=-9 | | 14d+4d+d-11d-5d=18 | | x-8+8=9 | | .5(x-4)-3=.667(x-7) | | 11w-8w=15 | | f(x)=sin(4x) |

Equations solver categories