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

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


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

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

Reorder the terms:
((-16xy + 12x2) + y(3x + -4y)) = 0
((-16xy + 12x2) + y(3x + -4y)) = 0
(-16xy + 12x2 + (3x * y + -4y * y)) = 0
(-16xy + 12x2 + (3xy + -4y2)) = 0

Reorder the terms:
(-16xy + 3xy + 12x2 + -4y2) = 0

Combine like terms: -16xy + 3xy = -13xy
(-13xy + 12x2 + -4y2) = 0

Solving
-13xy + 12x2 + -4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -4y)(4x + y) = 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 '(4x + y)' equal to zero and attempt to solve:

Simplifying
4x + y = 0

Solving
4x + y = 0

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

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {1.333333333y, -0.25y}

See similar equations:

| 5x-7=2x-34 | | -6x+20=-6 | | (6x-y)(3x-2y)= | | 290+74x=1474 | | -6(2p+4)-36=4(3p+3) | | -2(0)-6y=6 | | (x+2y)(2x+3y)= | | x^2=-6 | | 7-10n+5n=22-90 | | (-x-4)(4+3x)= | | 3-2=1 | | 4x^2=8x+5 | | 4(c-5)+9=6+c-17 | | 4y=8x-12 | | v^2x^2-9x^2+v^2n^2-9n^2=0 | | 5a-8.7=2.6a-2.22 | | 3(0)-4y=24 | | 2a+1.8=4.3a-14.99 | | 3x-4(0)=24 | | (2x+5)(4x-3)= | | 2b(7)=11 | | (4x-9)(3x+1)= | | 0=3x-9 | | 8m+16=0 | | (3x+2)(2x+5)= | | -4x-2(0)=8 | | graphy=-4a^2+2a+2 | | s=116t-1+16t | | A+(B+C)=(A+B)+C | | -3(t+5)=0 | | r=0.2 | | 9(w-2)=18 |

Equations solver categories