(3x-6)(x-8)=0

Simple and best practice solution for (3x-6)(x-8)=0 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 (3x-6)(x-8)=0 equation:


Simplifying
(3x + -6)(x + -8) = 0

Reorder the terms:
(-6 + 3x)(x + -8) = 0

Reorder the terms:
(-6 + 3x)(-8 + x) = 0

Multiply (-6 + 3x) * (-8 + x)
(-6(-8 + x) + 3x * (-8 + x)) = 0
((-8 * -6 + x * -6) + 3x * (-8 + x)) = 0
((48 + -6x) + 3x * (-8 + x)) = 0
(48 + -6x + (-8 * 3x + x * 3x)) = 0
(48 + -6x + (-24x + 3x2)) = 0

Combine like terms: -6x + -24x = -30x
(48 + -30x + 3x2) = 0

Solving
48 + -30x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -10x + x2) = 0

Factor a trinomial.
3((2 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2, 8}

See similar equations:

| 6-x=4x+1 | | -6=66 | | -x/3-4=9 | | 3.141592653589793238462643383(4x+2)=38x | | x/3-4=9 | | -x/3+4=9 | | x/9+4=9 | | 7x+82x=3 | | t=20.00+16.50*18 | | x/6=18/27 | | (x/5)+2=(2/5) | | 3x^2+30X+90=0 | | 2/3(a-3)=2/5 | | 5(2m-4)=-25 | | 38x-124= | | log(8)(6x-12)=2 | | 0.6t-0.02+0.1t=0.4 | | 24x^3+46x^2+9x-9=0 | | -4(x+4)+16+6x=22 | | 9p^2+4p-4=0 | | 9x+17=6x+32 | | (3j)(4j+2)(5j^2-6j+9)= | | 5x+4xy-2x-3xy= | | x-(3/4)=(1/12) | | 6x=2.5+x | | n-2.5=12.5 | | 18x+24=9x-12 | | 42-2x=16x+22 | | -2.5=12.5 | | -7x+6x=4x+17 | | 3x-2x+4/8+x-10/2=14 | | 4x^2-25x+15=-9x+8 |

Equations solver categories