0=x(16+-3x)

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Solution for 0=x(16+-3x) equation: 


Simplifying
0 = x(16 + -3x)
0 = (16 * x + -3x * x)
0 = (16x + -3x2)

Solving
0 = 16x + -3x2

Solving for variable 'x'.
Remove the zero:
-16x + 3x2 = 16x + -3x2 + -16x + 3x2

Reorder the terms:
-16x + 3x2 = 16x + -16x + -3x2 + 3x2

Combine like terms: 16x + -16x = 0
-16x + 3x2 = 0 + -3x2 + 3x2
-16x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-16x + 3x2 = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-16 + 3x)' equal to zero and attempt to solve:

Simplifying
-16 + 3x = 0

Solving
-16 + 3x = 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 + 3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 0 + 16
3x = 0 + 16

Combine like terms: 0 + 16 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333
Solution
x = {0, 5.333333333}

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