(X-3)(6x+6)=8x-2

Simple and best practice solution for (X-3)(6x+6)=8x-2 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 (X-3)(6x+6)=8x-2 equation:



(X-3)(6X+6)=8X-2
We move all terms to the left:
(X-3)(6X+6)-(8X-2)=0
We get rid of parentheses
(X-3)(6X+6)-8X+2=0
We multiply parentheses ..
(+6X^2+6X-18X-18)-8X+2=0
We get rid of parentheses
6X^2+6X-18X-8X-18+2=0
We add all the numbers together, and all the variables
6X^2-20X-16=0
a = 6; b = -20; c = -16;
Δ = b2-4ac
Δ = -202-4·6·(-16)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-28}{2*6}=\frac{-8}{12} =-2/3 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+28}{2*6}=\frac{48}{12} =4 $

See similar equations:

| 4(w+2)=6w+10 | | x-9/2=-5 | | 32x-4=10 | | 5x+2-3x=-3(2x+2) | | 6(m-1)=3(3m+5)* | | 2+3p=-19 | | 5-4(2b-5)+3b=1 | | 2(10x+8)-1=x-6 | | 7v+29=2(v+2) | | (9x-3)+(3x+21)=12x+18 | | 12x+16=-2x-12 | | 3+3n=-3 | | 22-5s=7(3s-6) | | 7w+1=-6+10w | | 8.5(f+2)=8.3+19 | | -2+p/8=-3 | | 5(v-7)=3v-21 | | n/2+1/2=8 | | 2x+6=-2x+18 | | 3+2n=-17 | | (3x+5)/4=11 | | 2x+6=2x+18 | | 9n+6+7n=-30 | | 20/8=30/p | | 2y-6=3y+4 | | x+12=-x-6 | | 7x-5=-2x+21 | | -6(2x+9=-12x+54 | | 2d^2=74 | | -4k-1=3 | | -5+6x=3x-29 | | 10x+6=2(5x+8) |

Equations solver categories