7x(x-3)=2(x-4)

Simple and best practice solution for 7x(x-3)=2(x-4) 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 7x(x-3)=2(x-4) equation:



7x(x-3)=2(x-4)
We move all terms to the left:
7x(x-3)-(2(x-4))=0
We multiply parentheses
7x^2-21x-(2(x-4))=0
We calculate terms in parentheses: -(2(x-4)), so:
2(x-4)
We multiply parentheses
2x-8
Back to the equation:
-(2x-8)
We get rid of parentheses
7x^2-21x-2x+8=0
We add all the numbers together, and all the variables
7x^2-23x+8=0
a = 7; b = -23; c = +8;
Δ = b2-4ac
Δ = -232-4·7·8
Δ = 305
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-\sqrt{305}}{2*7}=\frac{23-\sqrt{305}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{305}}{2*7}=\frac{23+\sqrt{305}}{14} $

See similar equations:

| -10+x=-22 | | b/b-5=6/7 | | 6=3x-0.95x | | -3x+9x+10=15-28 | | -106=-1-7(3-2k) | | 8a-(15-a)=6(a-7)+5 | | 2(3x+3)=12x(x-3) | | 8(2x-5)=8 | | 5x+5+7x-6=83 | | 7b=6b-30 | | 110=(5x-25) | | 6j+4-8j-12=6j-3-6j+5 | | 5x-8=5(x-2 | | 18q-15q+4=7 | | –3x–30=6 | | |30-8x|=20 | | 5a+7=107 | | -3v=11=-8v=51 | | 2x+4+3x-3+2x+4=33 | | -8+7x=10x+10 | |  16 − 2t  =  5t + 9 | | 2-8(8x-64)=-19+3x | | |-4d|+8=16 | | 9u+7=8u | | −8(−5x−4)=-7x+56 | | -3/1(9x+42)-4x=-70+x | | -4b=+4=-4+4b | | x*1.0625=100 | | 6x-54=180 | | N+2=3x13 | | -1=-2x+3x+2 | | 3x+4x-7=13-3x |

Equations solver categories