(X-4)(x-4)=28

Simple and best practice solution for (X-4)(x-4)=28 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-4)(x-4)=28 equation:



(X-4)(X-4)=28
We move all terms to the left:
(X-4)(X-4)-(28)=0
We multiply parentheses ..
(+X^2-4X-4X+16)-28=0
We get rid of parentheses
X^2-4X-4X+16-28=0
We add all the numbers together, and all the variables
X^2-8X-12=0
a = 1; b = -8; c = -12;
Δ = b2-4ac
Δ = -82-4·1·(-12)
Δ = 112
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{112}=\sqrt{16*7}=\sqrt{16}*\sqrt{7}=4\sqrt{7}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-4\sqrt{7}}{2*1}=\frac{8-4\sqrt{7}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+4\sqrt{7}}{2*1}=\frac{8+4\sqrt{7}}{2} $

See similar equations:

| -7x+1+7x=4 | | x*1.7=2 | | -31-20+3x+2=38 | | 5x+4(4x+2)=-139 | | 3(x-3)+5=7 | | 21+4m=35+2m | | 2x=48+2x | | 2x+7+122+133=180 | | 4x+1=2×+7 | | 1/8x+4=10 | | 3m+8+m=36 | | 40=10x+30 | | 6x+3-7x=2 | | 2(3x+2)-5=-7 | | 4x3+8x2-x-2=0 | | 12b-24=18b+72 | | 146.56=x+.06x | | 8-5c=(-37) | | -z-1=3z+19 | | 8(1x+12)=15x+47 | | 56-55k=14-k | | 6-2x/3=x-1/2 | | 4s+15=79 | | 110=39.63+0.25x | | -5y=6=-9 | | x/4+11=20 | | -3(4w-8)+4w=6(w+2) | | 9x+7=4-29 | | t=3(1.25)+1 | | 17=2n+8 | | 16+-2(2x+5)=14 | | h+24(7)=9 |

Equations solver categories