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

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


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

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

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

Multiply (12 + 4x) * (12 + 3x)
(12(12 + 3x) + 4x * (12 + 3x)) = 0
((12 * 12 + 3x * 12) + 4x * (12 + 3x)) = 0
((144 + 36x) + 4x * (12 + 3x)) = 0
(144 + 36x + (12 * 4x + 3x * 4x)) = 0
(144 + 36x + (48x + 12x2)) = 0

Combine like terms: 36x + 48x = 84x
(144 + 84x + 12x2) = 0

Solving
144 + 84x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(12 + 7x + x2) = 0

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

Ignore the factor 12.

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-4, -3}

See similar equations:

| 7*c*3= | | 8x-(6x+5)=9 | | 4w^2-25=2 | | 10x^3-8x^2-180x=0 | | 9(4x-3)=3(12x+8) | | 5+3r-4=9r+4-3r | | 10=k(4k-1) | | 16x^2+36= | | -3(x+u)+(3u-6x)= | | -2x+9=29 | | 16(80)+8(320-80)=10(320) | | 2s+5s=63 | | x^2-19x-84=0 | | x-2-4-x= | | 16x+8(320-x)=10(320) | | 20+2x=3y | | 16x+8(320-x)=15 *320 | | 16x+8(320-x)=10 *320 | | (x+4)+(2x+5)+6x=180 | | -(3x-3)-x= | | 3b^2-6b-45=0 | | -3(-6w+v)+(5v+w)= | | (x+6)(x+8)=0 | | 6p^2+5pq-6q^2= | | 7(x-3)-17=9x-2(x-8) | | 8(n+3)(n+7)=0 | | 3t=-27 | | -7(2b+1)+(15b-9)=0 | | 1.2q-3.9-5.7q=-5.5q-1.8 | | -8x^2+3+11x^2-14-5x= | | 0=24-10x-x^2 | | 12n^2-47n+45= |

Equations solver categories