If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2(2x+1)=3(x-4)x
We move all terms to the left:
2(2x+1)-(3(x-4)x)=0
We multiply parentheses
4x-(3(x-4)x)+2=0
We calculate terms in parentheses: -(3(x-4)x), so:We get rid of parentheses
3(x-4)x
We multiply parentheses
3x^2-12x
Back to the equation:
-(3x^2-12x)
-3x^2+4x+12x+2=0
We add all the numbers together, and all the variables
-3x^2+16x+2=0
a = -3; b = 16; c = +2;
Δ = b2-4ac
Δ = 162-4·(-3)·2
Δ = 280
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{280}=\sqrt{4*70}=\sqrt{4}*\sqrt{70}=2\sqrt{70}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{70}}{2*-3}=\frac{-16-2\sqrt{70}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{70}}{2*-3}=\frac{-16+2\sqrt{70}}{-6} $
| 38=83+x | | 2x-4=24÷2 | | 43=77+x | | 342+x=194 | | 516+x=258 | | 721+x=343 | | 10=t÷3-5 | | -7+6*x+5-2*x=4*x-3-8*x+9 | | x^+3=4*x | | 9x-9=1x+7 | | 20–x5=15 | | 0–x-5=15 | | 0–x5=15 | | 0–x/5=15 | | 8-2x/4=8 | | X+(.67*x)=42 | | 3(x+2)+7(x–1)=12 | | 1/4(5x+6)=2 | | 14p/5-3=13p/8+7/30 | | 47-5z=12 | | 1/2x^2+2=51 | | 30-4y=10 | | 5x+4=-2(x-9) | | 1/2x2+2=51 | | 5=-12x+2 | | 52-6z=2(z-2) | | 33.4+2y=9y+18 | | 1*1/2-y=1/4 | | 6x²+5x-34=0 | | 6-18x=2x+46 | | 5w+-4=9w+4 | | 6v+14=3v+26 |