3x-48=3x(x-16)

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Solution for 3x-48=3x(x-16) equation: 


Simplifying
3x + -48 = 3x(x + -16)

Reorder the terms:
-48 + 3x = 3x(x + -16)

Reorder the terms:
-48 + 3x = 3x(-16 + x)
-48 + 3x = (-16 * 3x + x * 3x)
-48 + 3x = (-48x + 3x2)

Solving
-48 + 3x = -48x + 3x2

Solving for variable 'x'.

Combine like terms: 3x + 48x = 51x
-48 + 51x + -3x2 = -48x + 3x2 + 48x + -3x2

Reorder the terms:
-48 + 51x + -3x2 = -48x + 48x + 3x2 + -3x2

Combine like terms: -48x + 48x = 0
-48 + 51x + -3x2 = 0 + 3x2 + -3x2
-48 + 51x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-48 + 51x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 17x + -1x2) = 0

Factor a trinomial.
3((-16 + x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16

Subproblem 2
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
Solution
x = {16, 1}

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