7(x-5)(x+8)=0

Simple and best practice solution for 7(x-5)(x+8)=0 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 7(x-5)(x+8)=0 equation:



7(x-5)(x+8)=0
We multiply parentheses ..
7(+x^2+8x-5x-40)=0
We multiply parentheses
7x^2+56x-35x-280=0
We add all the numbers together, and all the variables
7x^2+21x-280=0
a = 7; b = 21; c = -280;
Δ = b2-4ac
Δ = 212-4·7·(-280)
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-91}{2*7}=\frac{-112}{14} =-8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+91}{2*7}=\frac{70}{14} =5 $

See similar equations:

| 8-2(x+5)=3x-(5-5x) | | 7/x-8=2 | | 5/6=1/r | | -9/12x=1/12 | | -4/7+x=3/21 | | 2/5=a/40 | | 5/4x=6/3x=1/12 | | 15/12x-24/12x=1/12 | | (2x+2)-6=10-3(x-1) | | 7/5=4x/138 | | (x=4)^9=11 | | H(t)=-16t+4624 | | 3n−7=3n−6 | | (3x)+(2x+17)+(x-5)=180 | | 19/8+y=23/4 | | 4(c+3)=c | | 2n^2+n-300=0 | | 2n^+n-300=0 | | (n-12)(2n+25)=0 | | -4+3b-8=-b-2-6b | | -x-16=-8x-2 | | 3a+56=-4a+7 | | 0=(n-12)(2n+25) | | -3z-3=-8z-3 | | 30=60=x | | +2y=20-×4 | | 4x-19=-71 | | x+x(.3)+x(.3)=120 | | 2x-5+9=180 | | 9x/6-7x=15/1 | | 10=1.05x+0.08x | | -6y-14=-8 |

Equations solver categories