(3x+56y)(12x-5y)=0

Simple and best practice solution for (3x+56y)(12x-5y)=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 (3x+56y)(12x-5y)=0 equation: 


Simplifying
(3x + 56y)(12x + -5y) = 0

Multiply (3x + 56y) * (12x + -5y)
(3x * (12x + -5y) + 56y * (12x + -5y)) = 0
((12x * 3x + -5y * 3x) + 56y * (12x + -5y)) = 0

Reorder the terms:
((-15xy + 36x2) + 56y * (12x + -5y)) = 0
((-15xy + 36x2) + 56y * (12x + -5y)) = 0
(-15xy + 36x2 + (12x * 56y + -5y * 56y)) = 0
(-15xy + 36x2 + (672xy + -280y2)) = 0

Reorder the terms:
(-15xy + 672xy + 36x2 + -280y2) = 0

Combine like terms: -15xy + 672xy = 657xy
(657xy + 36x2 + -280y2) = 0

Solving
657xy + 36x2 + -280y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12x + -5y)(3x + 56y) = 0


Subproblem 1
Set the factor '(12x + -5y)' equal to zero and attempt to solve:

Simplifying
12x + -5y = 0

Solving
12x + -5y = 0

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

Add '5y' to each side of the equation.
12x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
12x + 0 = 0 + 5y
12x = 0 + 5y
Remove the zero:
12x = 5y

Divide each side by '12'.
x = 0.4166666667y

Simplifying
x = 0.4166666667y

Subproblem 2
Set the factor '(3x + 56y)' equal to zero and attempt to solve:

Simplifying
3x + 56y = 0

Solving
3x + 56y = 0

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

Add '-56y' to each side of the equation.
3x + 56y + -56y = 0 + -56y

Combine like terms: 56y + -56y = 0
3x + 0 = 0 + -56y
3x = 0 + -56y
Remove the zero:
3x = -56y

Divide each side by '3'.
x = -18.66666667y

Simplifying
x = -18.66666667y
Solution
x = {0.4166666667y, -18.66666667y}

See similar equations:

| 6+1=4x+5 | | 3.3x+7.3=9.4+2.7x | | lx-3l+lx-11l=8 | | 8x+5=15+3x | | 7x^2+12y^2= | | 7x+9=39+2x | | 7x+9=39+2z | | -3.6x-6.9-8x=-5.5 | | (9y+18)+(5x+x)=90 | | 9(4w-8)=12(3w+5) | | 2(3x-4)-12=(5x-3) | | 9y+18+5x+x=90 | | 9x+5+3x+1=90 | | Y=a+bx+cx^2+dx^3 | | 8x+6y=450 | | 2x+14=20-4x | | -30=5y-5 | | 8x+16=106-2x | | 21-7x=39-10x | | (4w+3)*2w=9w | | -17m-11=-9m-59 | | 7x+9=29-3x | | 3x+8=38-2x | | x-2+3=12 | | 3(2x+1)-4(x-2)=25 | | f(x)=-3x^2+15 | | 5*5+7-3= | | 110=w(w+15) | | W^2+15w=110 | | 4xy-4xz= | | t^2-3t=-2 | | 2=16-2p |

Equations solver categories