3x(x-8)-3x=-24

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Solution for 3x(x-8)-3x=-24 equation: 


Simplifying
3x(x + -8) + -3x = -24

Reorder the terms:
3x(-8 + x) + -3x = -24
(-8 * 3x + x * 3x) + -3x = -24
(-24x + 3x2) + -3x = -24

Reorder the terms:
-24x + -3x + 3x2 = -24

Combine like terms: -24x + -3x = -27x
-27x + 3x2 = -24

Solving
-27x + 3x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + -27x + 3x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -27x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -9x + x2) = 0

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

Ignore the factor 3.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

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 = {1, 8}

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