If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5x^2+2x+15=3x^2+13x+27
We move all terms to the left:
5x^2+2x+15-(3x^2+13x+27)=0
We get rid of parentheses
5x^2-3x^2+2x-13x-27+15=0
We add all the numbers together, and all the variables
2x^2-11x-12=0
a = 2; b = -11; c = -12;
Δ = b2-4ac
Δ = -112-4·2·(-12)
Δ = 217
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{-(-11)-\sqrt{217}}{2*2}=\frac{11-\sqrt{217}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{217}}{2*2}=\frac{11+\sqrt{217}}{4} $
| -7a-8=6a-3-8 | | x*2+5=x*5-4 | | 64k-48=4k+12 | | p-51÷2=2p+1 | | 35-3x=4x-35 | | Y=24x+30 | | -8=4y+4(y+6) | | 9x-60=240 | | 1-2x=4x-3x-5 | | 25-5x=5-20x | | 4y-22=30y+30 | | -9+7m=8m-6 | | 35=u/3+12 | | --4.5p=-60.3 | | 7j-105=42j+35 | | 4x-2(x-5)=-3+5x+4 | | n-8-7n=6n-7+2+9 | | -2(+6)-6y=4(y+3) | | 8x-9+180=53 | | 7j-105=44 | | -2x+1=x-1 | | x/5+11=14 | | 4-x=3x-164 | | 8x-9=53+180 | | 8x-9=53=180 | | 15x-24=15+12x | | 12=x/7.68+6 | | 4-x=3•x-164 | | 7(w-7)+5w=23 | | $$x5+11=9 | | 8x-2=24-5x | | 8-3x=-4x+1+5+1 |