6x^2=6x+12

Simple and best practice solution for 6x^2=6x+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 6x^2=6x+12 equation:


Simplifying
6x2 = 6x + 12

Reorder the terms:
6x2 = 12 + 6x

Solving
6x2 = 12 + 6x

Solving for variable 'x'.

Reorder the terms:
-12 + -6x + 6x2 = 12 + 6x + -12 + -6x

Reorder the terms:
-12 + -6x + 6x2 = 12 + -12 + 6x + -6x

Combine like terms: 12 + -12 = 0
-12 + -6x + 6x2 = 0 + 6x + -6x
-12 + -6x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + -1x + x2) = 0

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

Ignore the factor 6.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

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

Solution

x = {-1, 2}

See similar equations:

| y^2-2x^2=8 | | 36/n=72/1 | | 180*x+120*y=3136440 | | 0=0.8x-0.6 | | 7-4x/9=1-(x-6) | | (x-8)(3x-2)=0 | | (20-21x)/24yx | | 15=2L*W-7 | | 6y+0=24 | | 72n^2-15n-3=0 | | 5w=90-30 | | 3.9-c=31 | | -6m+8=-2m-20 | | 12q^2-174q=0 | | L-15.2=-4.5 | | 9n^4-19n^3-24n^2=0 | | D-10.3=1.3 | | 2(7y-11)+2y=11 | | 47s^2+6s=0 | | 6=2w-10 | | 1*0.1+0.5*0.1=1.05*0.1 | | 4s=36+4 | | 2x+7=10+3 | | 3=x+.13x | | 18x^2+140x-32=0 | | 22g^2-49g=0 | | 114+a-b+c=4142 | | 15/x=10/5 | | 8+j=12.4 | | V/7-3.4=14.6 | | 16x^2+24x+3=0 | | 1x+0.5x=1.05x |

Equations solver categories