If it's not what You are looking for type in the equation solver your own equation and let us solve it.
8x+7=5x^2
We move all terms to the left:
8x+7-(5x^2)=0
determiningTheFunctionDomain -5x^2+8x+7=0
a = -5; b = 8; c = +7;
Δ = b2-4ac
Δ = 82-4·(-5)·7
Δ = 204
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{204}=\sqrt{4*51}=\sqrt{4}*\sqrt{51}=2\sqrt{51}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{51}}{2*-5}=\frac{-8-2\sqrt{51}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{51}}{2*-5}=\frac{-8+2\sqrt{51}}{-10} $
| 9y+–12y−–12y−–13y−3y=1 | | 15+2b=45 | | (4x−2)=9+2x+5 | | m+8+23=27 | | 22+x=3(6+x) | | 2d+7/9=0 | | 0,25k=2k-14 | | 37=-7x+5(x+5) | | m+1823=27 | | 209=129-u | | 4p+7=43 | | 5x=4x-3+2x | | 16t^2+18t+9=0 | | z/0.25=5=-12 | | 4-3m=20 | | 3x+1-5=1 | | (6y-10)+(4y+10)=180 | | 4.7x=-23.5 | | (3x+263)+(14x-293)=8232 | | 5x-4x-3=2x | | 20+14.50x=28+12.50x | | 3x+8=360 | | 1+p=6 | | 38+x=3(10+x) | | 2n−8=34 | | x-9+6x=-86 | | --4x+10=2x-50 | | 80-2x=95-3x | | 6x-15+2x+33=180 | | -41=6x-2x+7 | | 2n-6=4n-4 | | -2(4-x)=-8(x+1) |