(x-2)*(x-3)*(x-4)=(x-3)*(x-4)*(x-5)

Simple and best practice solution for (x-2)*(x-3)*(x-4)=(x-3)*(x-4)*(x-5) 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)*(x-4)=(x-3)*(x-4)*(x-5) equation: 


Simplifying
(x + -2)(x + -3)(x + -4) = (x + -3)(x + -4)(x + -5)

Reorder the terms:
(-2 + x)(x + -3)(x + -4) = (x + -3)(x + -4)(x + -5)

Reorder the terms:
(-2 + x)(-3 + x)(x + -4) = (x + -3)(x + -4)(x + -5)

Reorder the terms:
(-2 + x)(-3 + x)(-4 + x) = (x + -3)(x + -4)(x + -5)

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x))(-4 + x) = (x + -3)(x + -4)(x + -5)
((-3 * -2 + x * -2) + x(-3 + x))(-4 + x) = (x + -3)(x + -4)(x + -5)
((6 + -2x) + x(-3 + x))(-4 + x) = (x + -3)(x + -4)(x + -5)
(6 + -2x + (-3 * x + x * x))(-4 + x) = (x + -3)(x + -4)(x + -5)
(6 + -2x + (-3x + x2))(-4 + x) = (x + -3)(x + -4)(x + -5)

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2)(-4 + x) = (x + -3)(x + -4)(x + -5)

Multiply (6 + -5x + x2) * (-4 + x)
(6(-4 + x) + -5x * (-4 + x) + x2(-4 + x)) = (x + -3)(x + -4)(x + -5)
((-4 * 6 + x * 6) + -5x * (-4 + x) + x2(-4 + x)) = (x + -3)(x + -4)(x + -5)
((-24 + 6x) + -5x * (-4 + x) + x2(-4 + x)) = (x + -3)(x + -4)(x + -5)
(-24 + 6x + (-4 * -5x + x * -5x) + x2(-4 + x)) = (x + -3)(x + -4)(x + -5)
(-24 + 6x + (20x + -5x2) + x2(-4 + x)) = (x + -3)(x + -4)(x + -5)
(-24 + 6x + 20x + -5x2 + (-4 * x2 + x * x2)) = (x + -3)(x + -4)(x + -5)
(-24 + 6x + 20x + -5x2 + (-4x2 + x3)) = (x + -3)(x + -4)(x + -5)

Combine like terms: 6x + 20x = 26x
(-24 + 26x + -5x2 + -4x2 + x3) = (x + -3)(x + -4)(x + -5)

Combine like terms: -5x2 + -4x2 = -9x2
(-24 + 26x + -9x2 + x3) = (x + -3)(x + -4)(x + -5)

Reorder the terms:
-24 + 26x + -9x2 + x3 = (-3 + x)(x + -4)(x + -5)

Reorder the terms:
-24 + 26x + -9x2 + x3 = (-3 + x)(-4 + x)(x + -5)

Reorder the terms:
-24 + 26x + -9x2 + x3 = (-3 + x)(-4 + x)(-5 + x)

Multiply (-3 + x) * (-4 + x)
-24 + 26x + -9x2 + x3 = (-3(-4 + x) + x(-4 + x))(-5 + x)
-24 + 26x + -9x2 + x3 = ((-4 * -3 + x * -3) + x(-4 + x))(-5 + x)
-24 + 26x + -9x2 + x3 = ((12 + -3x) + x(-4 + x))(-5 + x)
-24 + 26x + -9x2 + x3 = (12 + -3x + (-4 * x + x * x))(-5 + x)
-24 + 26x + -9x2 + x3 = (12 + -3x + (-4x + x2))(-5 + x)

Combine like terms: -3x + -4x = -7x
-24 + 26x + -9x2 + x3 = (12 + -7x + x2)(-5 + x)

Multiply (12 + -7x + x2) * (-5 + x)
-24 + 26x + -9x2 + x3 = (12(-5 + x) + -7x * (-5 + x) + x2(-5 + x))
-24 + 26x + -9x2 + x3 = ((-5 * 12 + x * 12) + -7x * (-5 + x) + x2(-5 + x))
-24 + 26x + -9x2 + x3 = ((-60 + 12x) + -7x * (-5 + x) + x2(-5 + x))
-24 + 26x + -9x2 + x3 = (-60 + 12x + (-5 * -7x + x * -7x) + x2(-5 + x))
-24 + 26x + -9x2 + x3 = (-60 + 12x + (35x + -7x2) + x2(-5 + x))
-24 + 26x + -9x2 + x3 = (-60 + 12x + 35x + -7x2 + (-5 * x2 + x * x2))
-24 + 26x + -9x2 + x3 = (-60 + 12x + 35x + -7x2 + (-5x2 + x3))

Combine like terms: 12x + 35x = 47x
-24 + 26x + -9x2 + x3 = (-60 + 47x + -7x2 + -5x2 + x3)

Combine like terms: -7x2 + -5x2 = -12x2
-24 + 26x + -9x2 + x3 = (-60 + 47x + -12x2 + x3)

Add '-1x3' to each side of the equation.
-24 + 26x + -9x2 + x3 + -1x3 = -60 + 47x + -12x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + 26x + -9x2 + 0 = -60 + 47x + -12x2 + x3 + -1x3
-24 + 26x + -9x2 = -60 + 47x + -12x2 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + 26x + -9x2 = -60 + 47x + -12x2 + 0
-24 + 26x + -9x2 = -60 + 47x + -12x2

Solving
-24 + 26x + -9x2 = -60 + 47x + -12x2

Solving for variable 'x'.

Reorder the terms:
-24 + 60 + 26x + -47x + -9x2 + 12x2 = -60 + 47x + -12x2 + 60 + -47x + 12x2

Combine like terms: -24 + 60 = 36
36 + 26x + -47x + -9x2 + 12x2 = -60 + 47x + -12x2 + 60 + -47x + 12x2

Combine like terms: 26x + -47x = -21x
36 + -21x + -9x2 + 12x2 = -60 + 47x + -12x2 + 60 + -47x + 12x2

Combine like terms: -9x2 + 12x2 = 3x2
36 + -21x + 3x2 = -60 + 47x + -12x2 + 60 + -47x + 12x2

Reorder the terms:
36 + -21x + 3x2 = -60 + 60 + 47x + -47x + -12x2 + 12x2

Combine like terms: -60 + 60 = 0
36 + -21x + 3x2 = 0 + 47x + -47x + -12x2 + 12x2
36 + -21x + 3x2 = 47x + -47x + -12x2 + 12x2

Combine like terms: 47x + -47x = 0
36 + -21x + 3x2 = 0 + -12x2 + 12x2
36 + -21x + 3x2 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
36 + -21x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -7x + x2) = 0

Factor a trinomial.
3((3 + -1x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {3, 4}

See similar equations:

| -7.5(7s+2.5)=-29.5 | | 8x-3=5x+10 | | 4(.6)+3y=-5 | | x^4+x^2+12x-12=0 | | 8w=3920 | | -2+13=m-6 | | 6-8x-3=-21+4x-12 | | 7x-9=-5 | | 3/2x=-2 | | 61818=6x | | -9(7x+8)=32-4k | | 7+5x+1= | | 7a-7a+5= | | -3k+5-6k=19 | | -6x=-8+2x | | 76+16x=220 | | 73-2x=13-8x | | 18-7c=4(9c-3) | | 6(4-3x)=48 | | 2x+5=-51-6x | | 6=-3x-9 | | 4h+9-3=-13 | | 69.95=-6.79x | | -32=4x+20 | | -30=-6+4(f-8) | | 0=-.16t^2+5t-17 | | -5(9+7r)=28 | | (3x^2-7x+14)+8x^2+9x-89= | | a^2+4b^2+10-2a-12b=0 | | 3x(5)=2x+6 | | 100x^2+175x-250= | | x+0.15x=21.85 |

Equations solver categories