0=3(x^2+4x-12)

Simple and best practice solution for 0=3(x^2+4x-12) 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 0=3(x^2+4x-12) equation: 


Simplifying
0 = 3(x2 + 4x + -12)

Reorder the terms:
0 = 3(-12 + 4x + x2)
0 = (-12 * 3 + 4x * 3 + x2 * 3)
0 = (-36 + 12x + 3x2)

Solving
0 = -36 + 12x + 3x2

Solving for variable 'x'.

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

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

Combine like terms: -36 + 36 = 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:

| cosx=1/(3y) | | 10-2(3x-1)=6x+10 | | T^2+40t+c=0 | | 7-2[3-2(y+3)]=6(y+3)-1 | | M^2-20m+c=0 | | 7(x-5)-4=9+3(5x-7) | | x^2+7x+bx+7b= | | -x-4y=20 | | 4(1+5v)=20 | | -2n^2=-n+1 | | 5x^2-23x=-2x^2-7x-9 | | 3(a-1)=4(a+2) | | 3(x-2)+9=-4 | | 18x^2+15x=7 | | 3(x-2)+5=17 | | 9(x+4)+5=5 | | 2y-5(y-3)=2(y-10) | | 3x+12=8x+3 | | 26x-.01x^2=0 | | y=3x+2slope | | 5c+4c+17-15+c= | | 6x^3-24x^2+24x=0 | | 4n+3=6n+8-2n | | 7(x-6)+2=-68 | | 19+x=48 | | 63.6/6 | | x^2+xa-30a^2= | | 4(m-1)=6m-12 | | 112=(x+4)(2x+6) | | 6X+4=X-16 | | 3p+34=88 | | P(t)=(323)3^t/3 |

Equations solver categories