(X+14)(x+7)=12

Simple and best practice solution for (X+14)(x+7)=12 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+14)(x+7)=12 equation:



(X+14)(X+7)=12
We move all terms to the left:
(X+14)(X+7)-(12)=0
We multiply parentheses ..
(+X^2+7X+14X+98)-12=0
We get rid of parentheses
X^2+7X+14X+98-12=0
We add all the numbers together, and all the variables
X^2+21X+86=0
a = 1; b = 21; c = +86;
Δ = b2-4ac
Δ = 212-4·1·86
Δ = 97
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-\sqrt{97}}{2*1}=\frac{-21-\sqrt{97}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{97}}{2*1}=\frac{-21+\sqrt{97}}{2} $

See similar equations:

| 2(h-8)-h=h=16 | | 3t^2+6t-68=4 | | 49=7^{4-5x} | | 5x2=10 | | 0.12x+0.5+x÷2=x/3+1.5 | | -9.40x=x | | 4+4+3×15=x | | 3x+7=7x+27 | | 3(w+1)=-4W-39 | | (x+2)2-(x-2)2=3x+4 | | x=x2+20x+93 | | n^2-12n-73=-11 | | 4(b−1.4)=17.6 | | (x^2-3x)-(2x+6)=0 | | (x-6)/(2x+2)=-3 | | 3x+3=15.6 | | 2.7b−9.8=15.2 | | (3x-1)^2-5(x-2)-2(x+3)^2-(5x+2)(x-1)=1 | | x/3-20=100-x | | x/3-20=100=x | | (X-1)2+(x+1)2=2x2+8x+2 | | 4n^2-18=-21n | | |8-12x|=17/5 | | 5*x=29 | | x4.1=-2 | | 4n^2-18+21n=0 | | 4.1x=-2 | | -22=-6v+4(v-7) | | |x|=-5x+24 | | d.9=-2 | | 0=5x^2-45x+40 | | R(x)=-x^2+12x |

Equations solver categories