(4+Z)(2+Z)=(4-Z)(2-Z)+8

Simple and best practice solution for (4+Z)(2+Z)=(4-Z)(2-Z)+8 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 (4+Z)(2+Z)=(4-Z)(2-Z)+8 equation: 


Simplifying
(4 + Z)(2 + Z) = (4 + -1Z)(2 + -1Z) + 8

Multiply (4 + Z) * (2 + Z)
(4(2 + Z) + Z(2 + Z)) = (4 + -1Z)(2 + -1Z) + 8
((2 * 4 + Z * 4) + Z(2 + Z)) = (4 + -1Z)(2 + -1Z) + 8
((8 + 4Z) + Z(2 + Z)) = (4 + -1Z)(2 + -1Z) + 8
(8 + 4Z + (2 * Z + Z * Z)) = (4 + -1Z)(2 + -1Z) + 8
(8 + 4Z + (2Z + Z2)) = (4 + -1Z)(2 + -1Z) + 8

Combine like terms: 4Z + 2Z = 6Z
(8 + 6Z + Z2) = (4 + -1Z)(2 + -1Z) + 8

Multiply (4 + -1Z) * (2 + -1Z)
8 + 6Z + Z2 = (4(2 + -1Z) + -1Z * (2 + -1Z)) + 8
8 + 6Z + Z2 = ((2 * 4 + -1Z * 4) + -1Z * (2 + -1Z)) + 8
8 + 6Z + Z2 = ((8 + -4Z) + -1Z * (2 + -1Z)) + 8
8 + 6Z + Z2 = (8 + -4Z + (2 * -1Z + -1Z * -1Z)) + 8
8 + 6Z + Z2 = (8 + -4Z + (-2Z + 1Z2)) + 8

Combine like terms: -4Z + -2Z = -6Z
8 + 6Z + Z2 = (8 + -6Z + 1Z2) + 8

Reorder the terms:
8 + 6Z + Z2 = 8 + 8 + -6Z + 1Z2

Combine like terms: 8 + 8 = 16
8 + 6Z + Z2 = 16 + -6Z + 1Z2

Solving
8 + 6Z + Z2 = 16 + -6Z + 1Z2

Solving for variable 'Z'.

Reorder the terms:
8 + -16 + 6Z + 6Z + Z2 + -1Z2 = 16 + -6Z + 1Z2 + -16 + 6Z + -1Z2

Combine like terms: 8 + -16 = -8
-8 + 6Z + 6Z + Z2 + -1Z2 = 16 + -6Z + 1Z2 + -16 + 6Z + -1Z2

Combine like terms: 6Z + 6Z = 12Z
-8 + 12Z + Z2 + -1Z2 = 16 + -6Z + 1Z2 + -16 + 6Z + -1Z2

Combine like terms: Z2 + -1Z2 = 0
-8 + 12Z + 0 = 16 + -6Z + 1Z2 + -16 + 6Z + -1Z2
-8 + 12Z = 16 + -6Z + 1Z2 + -16 + 6Z + -1Z2

Reorder the terms:
-8 + 12Z = 16 + -16 + -6Z + 6Z + 1Z2 + -1Z2

Combine like terms: 16 + -16 = 0
-8 + 12Z = 0 + -6Z + 6Z + 1Z2 + -1Z2
-8 + 12Z = -6Z + 6Z + 1Z2 + -1Z2

Combine like terms: -6Z + 6Z = 0
-8 + 12Z = 0 + 1Z2 + -1Z2
-8 + 12Z = 1Z2 + -1Z2

Combine like terms: 1Z2 + -1Z2 = 0
-8 + 12Z = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 3Z) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + 3Z)' equal to zero and attempt to solve:

Simplifying
-2 + 3Z = 0

Solving
-2 + 3Z = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3Z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3Z = 0 + 2
3Z = 0 + 2

Combine like terms: 0 + 2 = 2
3Z = 2

Divide each side by '3'.
Z = 0.6666666667

Simplifying
Z = 0.6666666667
Solution
Z = {0.6666666667}

See similar equations:

| (8a-2b+5c)-(5c-9a+4b)= | | (x^2-x)/3+(2x-1)/4=13/4 | | 6x-7y=8 | | 5x+5=5(x+3)-10 | | 4(3c-7)=-16 | | (2-8x)-(x+6)= | | 4*x/60 | | 7x^2-3x-8=0 | | 3.25+2.75x=17 | | X+1/6X=28 | | 9/7x=-27 | | 7x^2+18x-5=0 | | 9-5b=29 | | r=2p+3q | | .05+.02x=1.95 | | -5t+t= | | 3a-4=-16 | | y=5000+500x | | 47-12x=-61 | | 12x-17=67 | | 7x+3y=13 | | 208=2x^2 | | 15x-5=40x+10 | | -4x^2-11x+3=0 | | 7z-.6=8z | | (x/-4)-19=-10 | | 4y+2x=3.00 | | 2x-9/2x+16 | | 14=6x-9 | | 4(z+7)=5z-4 | | 3x+4y=3.75 | | -3x+13=5x-3 |

Equations solver categories