6x^2-6x-12=60

Simple and best practice solution for 6x^2-6x-12=60 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=60 equation:


Simplifying
6x2 + -6x + -12 = 60

Reorder the terms:
-12 + -6x + 6x2 = 60

Solving
-12 + -6x + 6x2 = 60

Solving for variable 'x'.

Reorder the terms:
-12 + -60 + -6x + 6x2 = 60 + -60

Combine like terms: -12 + -60 = -72
-72 + -6x + 6x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-72 + -6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + -1x + x2) = 0

Factor a trinomial.
6((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

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

Solution

x = {-3, 4}

See similar equations:

| 7x-5x-18= | | 6x^2-6x-12=69 | | 4x+9=7x-4 | | http://www.webassign.net/latexImages/1/e/340947104426f264afdcd81c1beb86.gif | | 0.3(X-5)= | | k-1.5k+0.5k=1 | | 2x+4=5a-32 | | (x^4+6x^2*y^2+y^4)dx+4xy(x^2+y^2)dy= | | 2n(n)+33n-120=0 | | -30x^0/6v | | y=x^5-4x^4+x^3 | | 19(1-2p)-3(p-4)=32 | | y=12841(1.01) | | y=10sinx-2 | | [2(y+5)]= | | (9y+5)= | | C(x)=0.2x^2-80x+10000 | | 0.2x^2-80x+10000=x | | X=0.2x^2-80x+10000 | | x-(0.05x)=30030 | | (x^4+6x^2*y^2+y^4)dx+4xy(x^2+y^2)dy=0 | | 7ab+8ba+3a+1= | | 2(+4-5)(x+3)=2 | | y=(x^2-x)(x^3-x^2) | | 3b+5a=z | | 4x=2x+7is | | f(x)=12(1.06)x | | 7(3-4x)=3x | | f(x)=10(1.18)x | | m=41-29 | | m+29=f | | y/3=4/9 |

Equations solver categories