If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(2y-8)(y+5)*2=(2y+8)(2y-8)
We move all terms to the left:
(2y-8)(y+5)*2-((2y+8)(2y-8))=0
We use the square of the difference formula
4y^2+(2y-8)(y+5)*2+64=0
We multiply parentheses ..
4y^2+(+2y^2+10y-8y-40)*2+64=0
We multiply parentheses
4y^2+4y^2+20y-16y-80+64=0
We add all the numbers together, and all the variables
8y^2+4y-16=0
a = 8; b = 4; c = -16;
Δ = b2-4ac
Δ = 42-4·8·(-16)
Δ = 528
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{528}=\sqrt{16*33}=\sqrt{16}*\sqrt{33}=4\sqrt{33}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{33}}{2*8}=\frac{-4-4\sqrt{33}}{16} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{33}}{2*8}=\frac{-4+4\sqrt{33}}{16} $
| q+5q+q-7=14 | | F(x)=x/46+12 | | 40=12×t8 | | 9x+5x+3+7=7x+4+6x | | 2x+5.5=6.5 | | 3-|x-2|=0 | | 234z/500-3z-1=-1 | | 3s+3.27=21.51 | | F(x)=x^2+8×-9 | | 10x^2+20x+x+2=0 | | x-14(12-x)=x+3(4-x)-2x | | 12x=9^10 | | 16x^2-6x-10=0 | | -21.5=-7.5+6(h+5) | | 2(k-1)=10k(k-2) | | 36-4(2z-3)=0 | | 7x+15=-3x+43 | | |d-100|=50 | | 23-5+7x3-(25-9-5)=28 | | 5h+5=45 | | 67-u=193 | | 10r-6r+3=19 | | 38.34+.25x=110 | | 5x+1.8=2.8 | | 3X5^x+25=100 | | |p-0.2|=0.5 | | 11=4q=15+3q | | 121-w=257 | | |p-0.2|=0.4 | | 37.58+.50x=120 | | 10/9=3q | | -36=6v+5(v-5) |