If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x(x-2)=5
We move all terms to the left:
6x(x-2)-(5)=0
We multiply parentheses
6x^2-12x-5=0
a = 6; b = -12; c = -5;
Δ = b2-4ac
Δ = -122-4·6·(-5)
Δ = 264
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{264}=\sqrt{4*66}=\sqrt{4}*\sqrt{66}=2\sqrt{66}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-2\sqrt{66}}{2*6}=\frac{12-2\sqrt{66}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+2\sqrt{66}}{2*6}=\frac{12+2\sqrt{66}}{12} $
| 46y+15y=0 | | 4z+5/4=5z+3/4 | | 8+17=11x+5 | | -3(2t-4)+2t=5t-5 | | -2(5t-2)+8t=4t-3 | | 8(x+2)+8=24 | | 7(3n+3)=6(8n+7)+5 | | 1.3(9.9r-4.8)=76.7 | | 6(3n+4)=7(5n+5)+3 | | 5(w-2)+3w=22 | | X+(2x+7)+45=180 | | 5(14.8r-8.9)=88.4 | | 5(x+2)-6=90+3(x-2) | | −4+3(w−1)=w+2(w−2)–1 | | 17/2j+5/3=2/3 | | -9.8f-6.3=52.5 | | -2.7n+8.6=16.7 | | 7x-5(x+6)=2x-(x-7) | | x+5=x−15 | | 80x-4=10 | | (2x+1/2)(4/5-x)=0 | | 3(x+8)=5(x+10) | | 2x+1=4(x-5) | | X+2X+y=160 | | -36=3(x-9) | | 1-5y=-24 | | 12x+2=32x | | -2(u+5)=8 | | -4=3-7w. | | 59=9w+5 | | (X)(x)(x)+(x)(x)+5=85 | | y/5-13=14 |