If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x(2x-7)=102
We move all terms to the left:
x(2x-7)-(102)=0
We multiply parentheses
2x^2-7x-102=0
a = 2; b = -7; c = -102;
Δ = b2-4ac
Δ = -72-4·2·(-102)
Δ = 865
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{-(-7)-\sqrt{865}}{2*2}=\frac{7-\sqrt{865}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{865}}{2*2}=\frac{7+\sqrt{865}}{4} $
| 5^x-8=14^-5x | | 2(n+4)=2n-5 | | 3x+15=31 | | 7x+1=9(x+1) | | 7y+5=9y-6y | | 7x+1=9(x | | 37=5x | | 0.14-0.02(x+1)=-0.04(3-x) | | -3/8x+5/6=7/12 | | 2y/3=90 | | 5(x+3)-2x=3(x+5) | | 3.8g+10=1.8g+18 | | x+2/5=x/15 | | 13-4x=1-1x4 | | 2.8=x-6.3 | | 9(2x+1)=7(5x+2)+4 | | -2y2=5 | | 3x+4(-1+3/1x)=14 | | -2y2=0 | | B+4.6=b+4.6 | | -3(x-1)+5x=4x-1 | | 77-u=256 | | 3x+4(−1+3/2x)=14 | | -8-1x+1x-4x= | | 2x^2-60x-150=0 | | 5x+-20+12x=16-x | | 3y+5=95 | | x+(x-5)+(2x+29)=180 | | 4x^2-3x+9=5x-6 | | -3(v+2)=2(v+6) | | |-x^2+2x-3|=1 | | 5x^2-3x+9=5x-6 |