If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(2a-5)(a+8)=a
We move all terms to the left:
(2a-5)(a+8)-(a)=0
We add all the numbers together, and all the variables
-1a+(2a-5)(a+8)=0
We multiply parentheses ..
(+2a^2+16a-5a-40)-1a=0
We get rid of parentheses
2a^2+16a-5a-1a-40=0
We add all the numbers together, and all the variables
2a^2+10a-40=0
a = 2; b = 10; c = -40;
Δ = b2-4ac
Δ = 102-4·2·(-40)
Δ = 420
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{420}=\sqrt{4*105}=\sqrt{4}*\sqrt{105}=2\sqrt{105}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{105}}{2*2}=\frac{-10-2\sqrt{105}}{4} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{105}}{2*2}=\frac{-10+2\sqrt{105}}{4} $
| x15+2x=91 | | x√3+2x=91 | | (2a-5)(a+8)=0 | | 12x+2/3=831/3 | | y+4=100 | | 3n+2n-5=180 | | -15x+13=-17 | | X²-50x=0 | | 6x•x+9x=6x2+9x | | A=2*(x+2) | | 2.3x=64 | | 2.3x=65 | | 15/4+2z-1/4=4z+29/4-2z | | 11-5x+9x+4x=18 | | 4/9x=1 | | 3x+4(x+6)=45 | | (X/x+20/X)+4=9 | | 5a-2a=2a+9 | | 0,5=(x-180)/x | | 35x29=x | | 3x-10+2x=60 | | 2(6)^x−4=8 | | n,n/2,n/4,n/8=1 | | X+40°=3x+10° | | y2+8y−6=0 | | 2n/3-5/6=2 | | 1100=10x | | X²+y²=10 | | 89=56g= | | 7.5x-11.5=7.5x-11.5 | | 8g=569= | | 7=2x=15 |