(3x-9)(8-2x)=0

Simple and best practice solution for (3x-9)(8-2x)=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-9)(8-2x)=0 equation: 


Simplifying
(3x + -9)(8 + -2x) = 0

Reorder the terms:
(-9 + 3x)(8 + -2x) = 0

Multiply (-9 + 3x) * (8 + -2x)
(-9(8 + -2x) + 3x * (8 + -2x)) = 0
((8 * -9 + -2x * -9) + 3x * (8 + -2x)) = 0
((-72 + 18x) + 3x * (8 + -2x)) = 0
(-72 + 18x + (8 * 3x + -2x * 3x)) = 0
(-72 + 18x + (24x + -6x2)) = 0

Combine like terms: 18x + 24x = 42x
(-72 + 42x + -6x2) = 0

Solving
-72 + 42x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + 7x + -1x2) = 0

Factor a trinomial.
6((-4 + x)(3 + -1x)) = 0

Ignore the factor 6.

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

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

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

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

Simplifying
x = 4

Subproblem 2
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
Solution
x = {4, 3}

See similar equations:

| Log(3)8x-3=2 | | 83=7m-1 | | 19=3705 | | x2/3-12=x1/3 | | 9*96=16x | | 12.6x+2.16=7.71 | | 27x=277 | | 9x^2+-1=0 | | (4x+9)+(3x-5)= | | 2/5×5/7 | | 8w^2-12w= | | (2/3)=y-(1/2) | | 9x=96*16 | | 3x=96*4 | | -20e=-8 | | 10(x+6)=90 | | 11x-23=4x-7 | | 8/5(n) | | 1/2=n/18 | | 5y-3x=8 | | 1/n=14/28 | | x+2-1=0 | | 19/6=n/42 | | n÷16/=15 | | (9x-5)=(2x+8) | | 2(-2)-1= | | 16/16=5/n | | 6B-27=21 | | 38.25=24.35 | | 3/13=14/x | | 2x-2-1= | | 28/n=7/27 |

Equations solver categories