If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x(5x-3)=522
We move all terms to the left:
6x(5x-3)-(522)=0
We multiply parentheses
30x^2-18x-522=0
a = 30; b = -18; c = -522;
Δ = b2-4ac
Δ = -182-4·30·(-522)
Δ = 62964
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{62964}=\sqrt{36*1749}=\sqrt{36}*\sqrt{1749}=6\sqrt{1749}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6\sqrt{1749}}{2*30}=\frac{18-6\sqrt{1749}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6\sqrt{1749}}{2*30}=\frac{18+6\sqrt{1749}}{60} $
| 10x⅚=N | | 0=16+4t-24 | | 4x-6x=80 | | 4m+12=-16 | | 2p+10-6=4p-12 | | 4(2x=13)=18 | | 13t-14=3t+169 | | 20b-2=34 | | -1=r-10/14 | | 2x–17=15 | | (x-4)(x+11)=0 | | 8x–15+2x=25 | | 8x–15+2x=25–15x+10 | | 9x+7=3x–2 | | 14+2y=2(3+2y) | | 2(2w+1)=2+4w | | (5+p)=6p+3 | | 2x+30=130-2x | | q/5=q-8 | | (6x+1)(2x^2+1)=0 | | 5/7x2/10=N | | (6x+1)*(2x^2+1)=0 | | (6x+1)(2x2+1)=0 | | 2/3x6/7=N | | 4x=25=11x-45 | | 2/5x1/4=N | | 9x-3=8x+8 | | T=13+2t= | | 3x2-14x+10=0 | | x^2-Ax=-9 | | 4(x-5)=7x/3 | | 4x-5=7x/3 |