(3x+12)(x+2)-240=0

Simple and best practice solution for (3x+12)(x+2)-240=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 (3x+12)(x+2)-240=0 equation: 


Simplifying
(3x + 12)(x + 2) + -240 = 0

Reorder the terms:
(12 + 3x)(x + 2) + -240 = 0

Reorder the terms:
(12 + 3x)(2 + x) + -240 = 0

Multiply (12 + 3x) * (2 + x)
(12(2 + x) + 3x * (2 + x)) + -240 = 0
((2 * 12 + x * 12) + 3x * (2 + x)) + -240 = 0
((24 + 12x) + 3x * (2 + x)) + -240 = 0
(24 + 12x + (2 * 3x + x * 3x)) + -240 = 0
(24 + 12x + (6x + 3x2)) + -240 = 0

Combine like terms: 12x + 6x = 18x
(24 + 18x + 3x2) + -240 = 0

Reorder the terms:
24 + -240 + 18x + 3x2 = 0

Combine like terms: 24 + -240 = -216
-216 + 18x + 3x2 = 0

Solving
-216 + 18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-72 + 6x + x2) = 0

Factor a trinomial.
3((-12 + -1x)(6 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-12, 6}

See similar equations:

| w+3-3(-5w-1)=2(w-6) | | 2t+1=t+5 | | 5(t+2)=3t+18 | | 6(w-2)-4=-2(-8w+7)-4w | | 3t-9=9 | | 15x=-11x | | 3y-7y-1=0 | | x^3-2x=56 | | 8y+9=7y-9 | | 2x^2-3y^2+4=0 | | 4x^2+36r=0 | | (x-1)(x+2)(x-3)= | | 2x(3x-1)(4x+1)= | | 6(x+2)=5(x+3) | | 2+6x=3+5x | | x+9x-45=5 | | Sin(x+10)=0.47 | | x+9-45=5 | | 70=(2x+4)(x+5) | | 2x+4x+x=14 | | -2(6-m+n)= | | 8(9a-6)= | | d+12d=13d | | 9-9(x+8)+3x=7+2 | | 6x-12+12=5x | | 0.6(2x+8)=1.9-(x-3) | | 78-(5x+8)=5(x+3)+x | | -60=-4z-18 | | -(z+-5)=14 | | 4(9-z)-54=20z-6(3+4z) | | -(z+-5)=-14 | | 678+52x=-369 |

Equations solver categories