(3x+3y)(5x+4y)=

Simple and best practice solution for (3x+3y)(5x+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 (3x+3y)(5x+4y)= equation: 


Simplifying
(3x + 3y)(5x + 4y) = 0

Multiply (3x + 3y) * (5x + 4y)
(3x * (5x + 4y) + 3y * (5x + 4y)) = 0
((5x * 3x + 4y * 3x) + 3y * (5x + 4y)) = 0

Reorder the terms:
((12xy + 15x2) + 3y * (5x + 4y)) = 0
((12xy + 15x2) + 3y * (5x + 4y)) = 0
(12xy + 15x2 + (5x * 3y + 4y * 3y)) = 0
(12xy + 15x2 + (15xy + 12y2)) = 0

Reorder the terms:
(12xy + 15xy + 15x2 + 12y2) = 0

Combine like terms: 12xy + 15xy = 27xy
(27xy + 15x2 + 12y2) = 0

Solving
27xy + 15x2 + 12y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9xy + 5x2 + 4y2) = 0

Factor a trinomial.
3((5x + 4y)(x + y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5x + 4y)' equal to zero and attempt to solve:

Simplifying
5x + 4y = 0

Solving
5x + 4y = 0

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 0 + -4y
5x = 0 + -4y
Remove the zero:
5x = -4y

Divide each side by '5'.
x = -0.8y

Simplifying
x = -0.8y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {-0.8y, -1y}

See similar equations:

| 1/2(12)+4x-(x-1)= | | -2(-5-x)+x-x+1= | | xy=19 | | 6x=-52 | | -3a+3+4a=6-20 | | -3-5x-3x+11x+3= | | 28+28x=8(x+3)+2 | | 0x(-7)= | | 0xm(-7)= | | -14x-18=2(-7x-9) | | k-8/3=11 | | 225x^2-49y^2=0 | | y=ln(x+c) | | Y=360-90x | | 2x^4+x^3+128=0 | | -4(4+7x)=40 | | 6x+48=10x+236 | | 5.6-(3.1)= | | -21.9-z=21.1 | | 5(1+2b)=85 | | x-2(2)=7 | | (2+y)(4y+5)=0 | | -15+(-12m)=-123 | | -0.5+(-8.5)= | | -15+(-12m)=123 | | 6+(-1.5)= | | -5+9.5= | | -6+(-4m)=-14 | | -6+(-4m)=14 | | (x^5-13x^3+45x)=9 | | 5w+3=2w | | (x^5-13x^3+45x)=6 |

Equations solver categories