F(x)=x(3x-16)

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


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

Multiply F * x
xF = x(3x + -16)

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

Solving
xF = -16x + 3x2

Solving for variable 'x'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + F + -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 + F + -3x)' equal to zero and attempt to solve:

Simplifying
16 + F + -3x = 0

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

Reorder the terms:
16 + -16 + F + -3x = 0 + -16

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

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

Add '-1F' to each side of the equation.
F + -1F + -3x = -16 + -1F

Combine like terms: F + -1F = 0
0 + -3x = -16 + -1F
-3x = -16 + -1F

Divide each side by '-3'.
x = 5.333333333 + 0.3333333333F

Simplifying
x = 5.333333333 + 0.3333333333F
Solution
x = {0, 5.333333333 + 0.3333333333F}

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