If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x(2x+3)=15
We move all terms to the left:
x(2x+3)-(15)=0
We multiply parentheses
2x^2+3x-15=0
a = 2; b = 3; c = -15;
Δ = b2-4ac
Δ = 32-4·2·(-15)
Δ = 129
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{-(3)-\sqrt{129}}{2*2}=\frac{-3-\sqrt{129}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{129}}{2*2}=\frac{-3+\sqrt{129}}{4} $
| 4k+7=7k-1k=4 | | -3x-4=-6x+11 | | 10^7x=19 | | (-y+2)=1/2y+2 | | 9x/2-x=x/16-7/8 | | 5w+6=6w | | 3(x-14)=57 | | 20x=309 | | 2(x+6)^2+5=23 | | 3(x-14)=81 | | 3(x-4)-6=24 | | 2/7x+2=4/7 | | 10-3x=14-11x | | 10-3x=14=11x | | 42=6/7(w) | | 5w+-6=6w | | −2(x−4)=7(x−4) | | 13a-102=-7a-207 | | 3/4(3x—-1/2)+2/3=1/3 | | 7.50x+2.25=$45 | | N+(1/2n)+(1/2n)=180 | | (5+5)(5+8x)=45-1.5(x+2) | | 3x/6=90 | | 3x=2x+56 | | 3(x+3)=105 | | 5y+3=7y−25 | | x^2+(25x)/2+36=0 | | 3(x-+3)=45 | | 9/4=-3/2x+43/4 | | |x-5|=|x-6| | | ((x+2)/3)+((x+2)/4)=5 | | (7x-1)^2=41 |