If it's not what You are looking for type in the equation solver your own equation and let us solve it.
10x^2-4x-2=8
We move all terms to the left:
10x^2-4x-2-(8)=0
We add all the numbers together, and all the variables
10x^2-4x-10=0
a = 10; b = -4; c = -10;
Δ = b2-4ac
Δ = -42-4·10·(-10)
Δ = 416
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{416}=\sqrt{16*26}=\sqrt{16}*\sqrt{26}=4\sqrt{26}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4\sqrt{26}}{2*10}=\frac{4-4\sqrt{26}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4\sqrt{26}}{2*10}=\frac{4+4\sqrt{26}}{20} $
| (3x-5)^2-6(3x-5)-16=0 | | (7-6y)=3y*4-47 | | 7^x-7^(x-1)=42 | | 2x-2=x+18 | | 7^x-7^x-^1=42 | | 2170=8+2x | | 2x+2=x-18 | | (3x-5)^2-6(3x-5))-16=0 | | 10x2-4x-2=-8 | | 7^x-7^x-1=42 | | 4x+6=33 | | 10.2(a-4)+15=13 | | -7(1x+9)=-112 | | 2(5x-2)=-44 | | 88.8=8(m+3.4) | | 3(-8+7x)=81 | | 157/25=4/5x+19/5 | | 3x-7=-2x+43 | | 6x2-9x-52=8 | | -3(-7-b)=1/3(b+39) | | 20+17r=1360 | | 2-2=17x+13x | | 70+(x+63)+(x+53)=180 | | 3(-1x-10)=-63 | | x-1/9=-5/18 | | .5(3x+9)=x+7 | | -6(2x-3)=-30 | | 17r+20=1360 | | 2(x-5)-13=2-3x | | (2m-1)^2=-25 | | -9/8+x=-3/8 | | 4(-3+7x)=268 |