(x-2)(x-3)=42

Simple and best practice solution for (x-2)(x-3)=42 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-2)(x-3)=42 equation:



(x-2)(x-3)=42
We move all terms to the left:
(x-2)(x-3)-(42)=0
We multiply parentheses ..
(+x^2-3x-2x+6)-42=0
We get rid of parentheses
x^2-3x-2x+6-42=0
We add all the numbers together, and all the variables
x^2-5x-36=0
a = 1; b = -5; c = -36;
Δ = b2-4ac
Δ = -52-4·1·(-36)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-13}{2*1}=\frac{-8}{2} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+13}{2*1}=\frac{18}{2} =9 $

See similar equations:

| 2(p-6)+2=10 | | -8+5k=4k | | 5/12=10/8x | | 8p=4(p-8) | | 4x-1+6x-7=180 | | 6x+5=92 | | 7v+3v=10v | | 39+6n=-n+4n | | x+6/5=6 | | 14+2x=-2x+6x | | 4x-1+6x-7=90 | | -12=-2+r | | 4x-5x+7=-8 | | -6x+35=-6+35 | | -22+4/9c=12 | | -10+4x=x-1 | | -22+8=r+6 | | 4x−2x=+6−6= | | 6x-7+4x-1=90 | | -4(-7x-6)-3=21-6x | | 5x=15- | | 4(x-5)-2(x+4)=2x-(x-3) | | 5y-76=12 | | -2(3t+5)=14 | | x=829 | | 5x+3x-8=3x | | 1x+10=3x-6 | | 2p-4(2p-1)=11-5p | | -4(a+8)-12a=32 | | 4(x-5)-2(x+)=2x-(x-3) | | 16-3yy=5 | | 6(r-3)=24 |

Equations solver categories