48=(3x+6)(x+2)

Simple and best practice solution for 48=(3x+6)(x+2) 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 48=(3x+6)(x+2) equation: 


Simplifying
48 = (3x + 6)(x + 2)

Reorder the terms:
48 = (6 + 3x)(x + 2)

Reorder the terms:
48 = (6 + 3x)(2 + x)

Multiply (6 + 3x) * (2 + x)
48 = (6(2 + x) + 3x * (2 + x))
48 = ((2 * 6 + x * 6) + 3x * (2 + x))
48 = ((12 + 6x) + 3x * (2 + x))
48 = (12 + 6x + (2 * 3x + x * 3x))
48 = (12 + 6x + (6x + 3x2))

Combine like terms: 6x + 6x = 12x
48 = (12 + 12x + 3x2)

Solving
48 = 12 + 12x + 3x2

Solving for variable 'x'.

Combine like terms: 48 + -12 = 36
36 + -12x + -3x2 = 12 + 12x + 3x2 + -12 + -12x + -3x2

Reorder the terms:
36 + -12x + -3x2 = 12 + -12 + 12x + -12x + 3x2 + -3x2

Combine like terms: 12 + -12 = 0
36 + -12x + -3x2 = 0 + 12x + -12x + 3x2 + -3x2
36 + -12x + -3x2 = 12x + -12x + 3x2 + -3x2

Combine like terms: 12x + -12x = 0
36 + -12x + -3x2 = 0 + 3x2 + -3x2
36 + -12x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
36 + -12x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -4x + -1x2) = 0

Factor a trinomial.
3((2 + -1x)(6 + x)) = 0

Ignore the factor 3.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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

Simplifying
6 + x = 0

Solving
6 + x = 0

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

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

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {2, -6}

See similar equations:

| 7h+3=10 | | 10(2m/5) | | x*2+y=17-16 | | x=-50+-15-7 | | 2x+75=y | | 7.5x-4.1=6.7+-4.5x | | -121-11x=54-4x | | -8d-5d+7d=24 | | 154=-4(8+6r)+34r | | 13(n+4+7m)13(n+4+7m)= | | 9.1=b/-2 | | Ln(x+12)-lnx=ln(x+5) | | x^2-16=y+17 | | 58.5/10.5 | | 6x+4=2[2x-5] | | 5(y+3)-(2y-1)=-5 | | x=2(-5)2 | | x*2-16=y+17 | | 14=y/5=10 | | 10x^2-1=-139 | | x^2+(k+3)x-k=0 | | r=-3r+2 | | 5^22/5^13 | | x*2-16+y+17=t | | 2x-3/12=2 | | 1/10z | | 24=1/5x-3 | | 21-8(u-3)+3+7u= | | 8=-3(-5)+b | | 90/2=x | | 36(7)(7-9)-24(9)(-2(7)-3(9))=v | | 680=2l+2w |

Equations solver categories