6+(x-4)(x-2)=(x-3)(x+3)

Simple and best practice solution for 6+(x-4)(x-2)=(x-3)(x+3) 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 6+(x-4)(x-2)=(x-3)(x+3) equation: 


Simplifying
6 + (x + -4)(x + -2) = (x + -3)(x + 3)

Reorder the terms:
6 + (-4 + x)(x + -2) = (x + -3)(x + 3)

Reorder the terms:
6 + (-4 + x)(-2 + x) = (x + -3)(x + 3)

Multiply (-4 + x) * (-2 + x)
6 + (-4(-2 + x) + x(-2 + x)) = (x + -3)(x + 3)
6 + ((-2 * -4 + x * -4) + x(-2 + x)) = (x + -3)(x + 3)
6 + ((8 + -4x) + x(-2 + x)) = (x + -3)(x + 3)
6 + (8 + -4x + (-2 * x + x * x)) = (x + -3)(x + 3)
6 + (8 + -4x + (-2x + x2)) = (x + -3)(x + 3)

Combine like terms: -4x + -2x = -6x
6 + (8 + -6x + x2) = (x + -3)(x + 3)

Combine like terms: 6 + 8 = 14
14 + -6x + x2 = (x + -3)(x + 3)

Reorder the terms:
14 + -6x + x2 = (-3 + x)(x + 3)

Reorder the terms:
14 + -6x + x2 = (-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
14 + -6x + x2 = (-3(3 + x) + x(3 + x))
14 + -6x + x2 = ((3 * -3 + x * -3) + x(3 + x))
14 + -6x + x2 = ((-9 + -3x) + x(3 + x))
14 + -6x + x2 = (-9 + -3x + (3 * x + x * x))
14 + -6x + x2 = (-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
14 + -6x + x2 = (-9 + 0 + x2)
14 + -6x + x2 = (-9 + x2)

Add '-1x2' to each side of the equation.
14 + -6x + x2 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -6x + 0 = -9 + x2 + -1x2
14 + -6x = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -6x = -9 + 0
14 + -6x = -9

Solving
14 + -6x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -6x = -9 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -9 + -14
-6x = -9 + -14

Combine like terms: -9 + -14 = -23
-6x = -23

Divide each side by '-6'.
x = 3.833333333

Simplifying
x = 3.833333333

See similar equations:

| 7/X=5/105 | | x/66=3/11 | | 2/8=6x | | 4+9=4x^2 | | Y=3x^3-6x+5 | | 2tan(3x)=sqrt(5) | | 6+2x+3=12 | | 2x+5+xX=(x-3)(x+3) | | 16x^2-9y^2=7 | | 0=16t^2+64+12 | | (X+5)(x+1)-4=(x-1)(x+3) | | w*3w-60=440 | | 2/3x100 | | (6w-6x-7)(4w+5x)= | | x^2-6x+y^2+5y=50 | | y=0.33333y+4 | | X+2(x-5)=1+(-3x+1) | | 121-a^2=0 | | 4x+(2x-1)-3(x-2)=0 | | 2.75+2.11= | | 3w^2+49w+60=0 | | 5n+10-2n=3n+4 | | (w+5)(3w+4)=0 | | 2x^2-5+2x=7 | | 291=78-v | | 7/0.8 | | 0.6x-9=12 | | 2-(x+7)=3(2x-5) | | c²-1/4=0 | | 266/600 | | 8x+y=-33 | | M(y-x)=3-y |

Equations solver categories