(5x+6y)(4x+4y)=0

Simple and best practice solution for (5x+6y)(4x+4y)=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 (5x+6y)(4x+4y)=0 equation: 


Simplifying
(5x + 6y)(4x + 4y) = 0

Multiply (5x + 6y) * (4x + 4y)
(5x * (4x + 4y) + 6y * (4x + 4y)) = 0
((4x * 5x + 4y * 5x) + 6y * (4x + 4y)) = 0

Reorder the terms:
((20xy + 20x2) + 6y * (4x + 4y)) = 0
((20xy + 20x2) + 6y * (4x + 4y)) = 0
(20xy + 20x2 + (4x * 6y + 4y * 6y)) = 0
(20xy + 20x2 + (24xy + 24y2)) = 0

Reorder the terms:
(20xy + 24xy + 20x2 + 24y2) = 0

Combine like terms: 20xy + 24xy = 44xy
(44xy + 20x2 + 24y2) = 0

Solving
44xy + 20x2 + 24y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(11xy + 5x2 + 6y2) = 0

Factor a trinomial.
4((x + y)(5x + 6y)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(5x + 6y)' equal to zero and attempt to solve:

Simplifying
5x + 6y = 0

Solving
5x + 6y = 0

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

Add '-6y' to each side of the equation.
5x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 0 + -6y
5x = 0 + -6y
Remove the zero:
5x = -6y

Divide each side by '5'.
x = -1.2y

Simplifying
x = -1.2y
Solution
x = {-1y, -1.2y}

See similar equations:

| 0.03*0.8= | | 20A-40=8A+160 | | (c-2)(c^2+2c+4)=0 | | -20s-3=25s^2+1 | | -3(5-2t)+28=1 | | -2x-4=-6x-20 | | 5=-(11-4s)-14 | | 0.4*0.07= | | -8(2+9v)= | | 3(X)+2=26 | | 4y+3=x | | -2(7x+9)=-130 | | 4s-8-15s=-30 | | 4(d-1)-5(d+2)=-3 | | -4(6)+5+9(6)-2= | | (7x-2)(7x^2-9x+2)=0 | | 20=-71+7x | | 7x+4-6x=12 | | 4x-16=2x+16 | | -3(3-8j)= | | 3x-4+5x+7=4x+2-5x+10 | | 9.8z+2=3.8z+20 | | 91=21+10x | | 123x^3+216=0 | | 9.8z+2=5.8z | | 0.07*5= | | -5+18=m-1 | | 6(x+2)+7=2x+4(4+x) | | 5*0.07= | | 8d+9d+6d-4= | | 2(-5-7j)= | | 6x+29= |

Equations solver categories