If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x+5=x^2+x-13
We move all terms to the left:
3x+5-(x^2+x-13)=0
We get rid of parentheses
-x^2+3x-x+13+5=0
We add all the numbers together, and all the variables
-1x^2+2x+18=0
a = -1; b = 2; c = +18;
Δ = b2-4ac
Δ = 22-4·(-1)·18
Δ = 76
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{76}=\sqrt{4*19}=\sqrt{4}*\sqrt{19}=2\sqrt{19}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{19}}{2*-1}=\frac{-2-2\sqrt{19}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{19}}{2*-1}=\frac{-2+2\sqrt{19}}{-2} $
| -18-10y+6=-12y+20 | | -15-7x=1-3x | | y-6+91-7=180 | | -2p+15=-17p | | 13.3n=-10.56+12.5n | | 2(x+6)=4x-24 | | ()x(—11)=99 | | -20-f-20=20+3f | | -15-14r=12-11r | | 22x+34=164 | | n-2N=0 | | -17j=-15-20j | | 5(1-2x)-3(4+x)=0 | | -6=q/30 | | -7f=-6-9f | | 4+5(m-1)=38 | | y+10-5.4+4=180 | | 3^2-4r=-2 | | x-50=3x-40 | | 3w=2w^2+5 | | c+29c+15=20c+1 | | 8x(2x-9)=-3 | | a²=6(2) | | 8x+-16+-17x—19x+7x=4 | | 10v-5=8 | | -102=-17b | | x-3+x+x+x=8+x+x | | 2z-18=-3z+17 | | 5j+4j+j=10 | | 3m-24=0;m= | | -52=-13b | | -4c-10-8=3c+10 |