If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x(7x-2)=4x+3
We move all terms to the left:
3x(7x-2)-(4x+3)=0
We multiply parentheses
21x^2-6x-(4x+3)=0
We get rid of parentheses
21x^2-6x-4x-3=0
We add all the numbers together, and all the variables
21x^2-10x-3=0
a = 21; b = -10; c = -3;
Δ = b2-4ac
Δ = -102-4·21·(-3)
Δ = 352
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{352}=\sqrt{16*22}=\sqrt{16}*\sqrt{22}=4\sqrt{22}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-4\sqrt{22}}{2*21}=\frac{10-4\sqrt{22}}{42} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+4\sqrt{22}}{2*21}=\frac{10+4\sqrt{22}}{42} $
| 7x-25=2x-2 | | y+6,1=4y-4,5 | | 4x-1/2=-+7 | | 6+3x=13-x | | 4x+31=5x-1 | | 7x-3=x+16 | | x-2=-2x+6 | | 7x-3=x+14 | | 4x=4x-9 | | 6x=13-7x | | 3x=-2x+11 | | -x=-4x-9 | | 7n^2=-7n+84 | | 6=13x-11x | | 4=4x+2x | | -16t^2+143t+24=0 | | -16t^2+143t+24=3 | | 27x-2=12x+13 | | -5k+10=5 | | -4x-6=4x-46 | | 28x+23=17+ | | 7x-6=9x-20 | | 8x-6=10x-20 | | 7x-7=10x-13 | | Q=50000+5y | | x=13^2+13^2 | | 2x+4=13+3× | | 8^2+x^2=17^2 | | 30=6j | | 4h-0,4-h-0,1=h-2h | | x=4x=180 | | 2−8x=−46 |