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

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


Simplifying
3a(x + y) + -4b(x + y) = (3a + -4b)(x + y)
(x * 3a + y * 3a) + -4b(x + y) = (3a + -4b)(x + y)
(3ax + 3ay) + -4b(x + y) = (3a + -4b)(x + y)
3ax + 3ay + (x * -4b + y * -4b) = (3a + -4b)(x + y)
3ax + 3ay + (-4bx + -4by) = (3a + -4b)(x + y)

Multiply (3a + -4b) * (x + y)
3ax + 3ay + -4bx + -4by = (3a * (x + y) + -4b * (x + y))
3ax + 3ay + -4bx + -4by = ((x * 3a + y * 3a) + -4b * (x + y))
3ax + 3ay + -4bx + -4by = ((3ax + 3ay) + -4b * (x + y))
3ax + 3ay + -4bx + -4by = (3ax + 3ay + (x * -4b + y * -4b))
3ax + 3ay + -4bx + -4by = (3ax + 3ay + (-4bx + -4by))
3ax + 3ay + -4bx + -4by = (3ax + 3ay + -4bx + -4by)

Add '-3ax' to each side of the equation.
3ax + 3ay + -4bx + -3ax + -4by = 3ax + 3ay + -4bx + -3ax + -4by

Reorder the terms:
3ax + -3ax + 3ay + -4bx + -4by = 3ax + 3ay + -4bx + -3ax + -4by

Combine like terms: 3ax + -3ax = 0
0 + 3ay + -4bx + -4by = 3ax + 3ay + -4bx + -3ax + -4by
3ay + -4bx + -4by = 3ax + 3ay + -4bx + -3ax + -4by

Reorder the terms:
3ay + -4bx + -4by = 3ax + -3ax + 3ay + -4bx + -4by

Combine like terms: 3ax + -3ax = 0
3ay + -4bx + -4by = 0 + 3ay + -4bx + -4by
3ay + -4bx + -4by = 3ay + -4bx + -4by

Add '-3ay' to each side of the equation.
3ay + -4bx + -3ay + -4by = 3ay + -4bx + -3ay + -4by

Reorder the terms:
3ay + -3ay + -4bx + -4by = 3ay + -4bx + -3ay + -4by

Combine like terms: 3ay + -3ay = 0
0 + -4bx + -4by = 3ay + -4bx + -3ay + -4by
-4bx + -4by = 3ay + -4bx + -3ay + -4by

Reorder the terms:
-4bx + -4by = 3ay + -3ay + -4bx + -4by

Combine like terms: 3ay + -3ay = 0
-4bx + -4by = 0 + -4bx + -4by
-4bx + -4by = -4bx + -4by

Add '4bx' to each side of the equation.
-4bx + 4bx + -4by = -4bx + 4bx + -4by

Combine like terms: -4bx + 4bx = 0
0 + -4by = -4bx + 4bx + -4by
-4by = -4bx + 4bx + -4by

Combine like terms: -4bx + 4bx = 0
-4by = 0 + -4by
-4by = -4by

Add '4by' to each side of the equation.
-4by + 4by = -4by + 4by

Combine like terms: -4by + 4by = 0
0 = -4by + 4by

Combine like terms: -4by + 4by = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| 9x/5=28 | | 0.065x+5.319=0.04x+5.314 | | 0.5x+0.25(300)=0.25(210) | | si=p*r*t/100 | | g(x)=1.5/9 | | -(2w-v-3)= | | g(x)=1.5/4 | | 9y+14=7y-10 | | 49+6=28+2b | | x=216*.60 | | y=216*.60x | | 7500x-2500y=5000 | | 6x-(4x+7)=x+1 | | 1000(8x-10)=40(1140+100x) | | 2(7x^2+10)=43x | | Y=4-2+7 | | 11n+2n=104 | | 7x+8x-9x-5=31 | | 24=6(-x-1) | | 3x-5-y=0 | | n-24=15 | | X+9=11x-3 | | 5x^2-9x+240=0 | | 23=x+18 | | 7x-70=2x+50 | | 7x+29=11x-31 | | Y=2x-(2x-16) | | 9x-4=12x-55 | | Y=-(2x-16) | | 80x=12 | | 2x^2+y^2+16x-4y+32=0 | | sec^2(x)-3sec(x)+2=0 |

Equations solver categories