2a(a+7)-7=9

Simple and best practice solution for 2a(a+7)-7=9 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2a(a+7)-7=9 equation:



2a(a+7)-7=9
We move all terms to the left:
2a(a+7)-7-(9)=0
We add all the numbers together, and all the variables
2a(a+7)-16=0
We multiply parentheses
2a^2+14a-16=0
a = 2; b = 14; c = -16;
Δ = b2-4ac
Δ = 142-4·2·(-16)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-18}{2*2}=\frac{-32}{4} =-8 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+18}{2*2}=\frac{4}{4} =1 $

See similar equations:

| -5y=-2y-9 | | 2(2/3x-5)=1/2(-5x+3) | | f/4+11=12 | | 8(q-1)=-8 | | 17.73=3g+3.51 | | -1-8h=-2h-17-5h | | -4p=8 | | x+15=1+6x | | -2x+3=5(x-4) | | 7(4–3x)=–8(2x–1) | | 17.73=3g+5.51 | | –4b=–52 | | F(x)=x2-5x+12 | | X7=3x+20 | | -7g=-6g+10 | | 18x-6x-2=22 | | 9x^2-155x-1000=0 | | –3k=–9−4k | | 3j=9+6j | | a=(0-2)^2-8 | | 16+24=n+20 | | x+21=115 | | -4x-5=6-11x | | -15(s-1)=-15 | | -2=(6x-8) | | –3v=7−2v | | 5x(4-4)=24 | | 2(1-2x)=3+4x | | 5/m=60/132 | | 2e-9+8e=3(2e-4)+3 | | -11.2r=1.16-11.1r | | 5x–3x=-6 |

Equations solver categories