6x^2-12x-378=0

Simple and best practice solution for 6x^2-12x-378=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 6x^2-12x-378=0 equation:


Simplifying
6x2 + -12x + -378 = 0

Reorder the terms:
-378 + -12x + 6x2 = 0

Solving
-378 + -12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-63 + -2x + x2) = 0

Factor a trinomial.
6((-7 + -1x)(9 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-7, 9}

See similar equations:

| -4x+7=-2x+16+8x | | 75=(2x+1)x | | 3x^2+6x-24=-4 | | 7(4y-8)-(9y+6)= | | (9n^4/5x^4y^4)/(3mn^3/15x^3y) | | 3x^2+40x+12=0 | | 9(10-t)=-t | | c(x)=0.0001x^3-0.09x^2+20x+1200 | | -14+p=-52 | | y-5=5/3(x-3) | | 2x^3-x^2+6x-1=0 | | 4x+3x-2x=19+6 | | -14+p=52 | | 10=(x+3)x | | 52=√1/x^-2 | | 18x-4+7x= | | 0=-3x^2+32x+33 | | -16+2x=4 | | 120+(6.25x)=380 | | lnx=3.0514 | | 25x^2+131x+278=0 | | 9x-16-16x=4x+6 | | X-2/5=1/4 | | 1/3m=-4 | | x*x-21.75x+15.75=0 | | 3+ln(27x)=21-2ln(x) | | -18=-9z | | 20*0.2+2=15*0.2+3 | | 10+14y= | | Ln(5y/7z) | | X^5-2x+x=0 | | 38.57=c+0.25x |

Equations solver categories