x(x+10)=-16

Simple and best practice solution for x(x+10)=-16 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 x(x+10)=-16 equation:



x(x+10)=-16
We move all terms to the left:
x(x+10)-(-16)=0
We add all the numbers together, and all the variables
x(x+10)+16=0
We multiply parentheses
x^2+10x+16=0
a = 1; b = 10; c = +16;
Δ = b2-4ac
Δ = 102-4·1·16
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-6}{2*1}=\frac{-16}{2} =-8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+6}{2*1}=\frac{-4}{2} =-2 $

See similar equations:

| 17x-140=280+7x | | 4/9q-10/7=-2/7q | | (x-2)^2-15=0 | | 9v+-20v-–3v=8 | | 2.5(12.75x+4.50)=188.75 | | 3x+6x+-15x=-18 | | 0.75p=84 | | 3x+6x+–15x=–18 | | 9y-y+5y-11y=20 | | 8−4x10=8+2x | | 8−4x10=8+2x | | -2(5x+8)=-5(x-3) | | 5c-13c-–20c-6c-–8c=14 | | 5-2e=13 | | 13x+4=-5+12× | | 4x+16+25=121 | | 4q=200000 | | 2|2x+4|=20 | | A=(7x-8)B=(6x+17) | | (x+2)/2=3.5 | | 1.07^x=20 | | 5+3(1+4a)=-25 | | -v/7=-51 | | 20v=8+8v | | 3x-15+2x-6=19 | | 1-27000*0.013/1100=1/1.013^t | | 0.88xT=0.6 | | |4x-2|=30 | | |4x-2|=20 | | x/3+x/6-x/9=7 | | 1/2(8a-20)=2(a+6 | | H(x)=0.15x+9.25 |

Equations solver categories