3(x-12)(x+4)=0

Simple and best practice solution for 3(x-12)(x+4)=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 3(x-12)(x+4)=0 equation: 


Simplifying
3(x + -12)(x + 4) = 0

Reorder the terms:
3(-12 + x)(x + 4) = 0

Reorder the terms:
3(-12 + x)(4 + x) = 0

Multiply (-12 + x) * (4 + x)
3(-12(4 + x) + x(4 + x)) = 0
3((4 * -12 + x * -12) + x(4 + x)) = 0
3((-48 + -12x) + x(4 + x)) = 0
3(-48 + -12x + (4 * x + x * x)) = 0
3(-48 + -12x + (4x + x2)) = 0

Combine like terms: -12x + 4x = -8x
3(-48 + -8x + x2) = 0
(-48 * 3 + -8x * 3 + x2 * 3) = 0
(-144 + -24x + 3x2) = 0

Solving
-144 + -24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-48 + -8x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(12 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
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
Solution
x = {-4, 12}

See similar equations:

| x-9=2x | | 3m^2-7mn+2n^2=0 | | 10x-8=27 | | 83.4=2(27.8)+2w | | 2m^2-mn-6n^2=0 | | 6m^2+11mn+3n^2=0 | | 42=5.7z+2.6(z-3) | | a=(12)(10) | | 4x^2+18x=10 | | 42=5.7z+26(z-3) | | a=(8.5)(7.6) | | (2x+1)/3=5 | | a=(26)(11) | | 2x+1/3=5 | | p=2(1)+2(0.5) | | A+1=20 | | p=2(2.9)+2(2.8) | | 6y^5+8y^3=0 | | 6y^2-8y=0 | | 2(10w)+2w=106 | | 7x^2+6x=2 | | 0=16t^2+65t+160 | | 2(10w+2)+2w=106 | | 16-5s=-19 | | 6+90+90+13+11x+12x=360 | | 61.44=12z | | 345678-34567+123456= | | x^4-9x^3+30x^2-33x-13=0 | | 16e+22-6e=1+4e+3 | | -11x=275 | | 4x-4y+16=0 | | 3(x-8)+4=3(2x+3) |

Equations solver categories