If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5-2x^2=-15
We move all terms to the left:
5-2x^2-(-15)=0
We add all the numbers together, and all the variables
-2x^2+20=0
a = -2; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-2)·20
Δ = 160
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{10}}{2*-2}=\frac{0-4\sqrt{10}}{-4} =-\frac{4\sqrt{10}}{-4} =-\frac{\sqrt{10}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{10}}{2*-2}=\frac{0+4\sqrt{10}}{-4} =\frac{4\sqrt{10}}{-4} =\frac{\sqrt{10}}{-1} $
| h+12=94 | | |10x-9|=0 | | 29/18+1/2*x=-5/3(x+1/3) | | 4(2x-3)=3x+48 | | -6+3x=5x-12 | | 290=20(x)+50 | | 9n-3=7n+21+2n= | | 6(1-p)=2(3-3p) | | 27x^=192 | | 2x2+20=-78 | | 23x=191 | | 51/2=d/16 | | 5/3j-6=36 | | 2(4x-15)=6x+2 | | -6/7m=84- | | 9n-3=7n+21+2nn= | | 9x(x-8)-2(x+8)=0 | | 15y=-13 | | (16x-9)=(4x-1) | | 4(1+6x)=52 | | 7(5x+4)=448 | | 9c=918 | | 3(6x+9)=171 | | -33=-0.6k | | 3(7+7x)=273 | | -5(r+9)=-51 | | -2=3+w | | X2+4x+12=2x+20 | | 4(9+6x)=26 | | x^2+2x–2=6 | | x2+2x–2=6 | | 3(4x+10)=20 |