If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x=-0.5x^2+10x+5
We move all terms to the left:
x-(-0.5x^2+10x+5)=0
We get rid of parentheses
0.5x^2-10x+x-5=0
We add all the numbers together, and all the variables
0.5x^2-9x-5=0
a = 0.5; b = -9; c = -5;
Δ = b2-4ac
Δ = -92-4·0.5·(-5)
Δ = 91
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{-(-9)-\sqrt{91}}{2*0.5}=\frac{9-\sqrt{91}}{1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{91}}{2*0.5}=\frac{9+\sqrt{91}}{1} $
| −3m+8=−7m−4 | | 3x²–x–2=0 | | 112/x=50/3 | | -66x=16 | | 5(x-1)1/4=10 | | 8x^2+2x+2=3 | | 2(a-50)=-2 | | 5-2(1x+6)=14 | | 4n^2+32n+64=0 | | 3m-1=m-2 | | 7a-10=-2(a+5) | | 7a-10=-2(a) | | 20x+x2=525 | | 4n–7=5n–11 | | 4z/4=9 | | X^2+(3.5-x)^2=4 | | (x-6)x=(x-10)(x-6) | | 8c+12=-4 | | n/4-7=35 | | (x+10)(x+1)=(x+13)x | | 7(13-2X)=-9(x+10 | | b-2b=1 | | 3r-6=-6r | | 2t-3=-3t+12 | | 10x/7=-10 | | n÷8=6 | | f-8=-32 | | d-2=15 | | –4w−6=10+4w | | 41=28-5c | | 3x29/10=x | | 160=2x-8 |