F(x)=(20+3x)x

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Solution for F(x)=(20+3x)x equation: 


Simplifying
F(x) = (20 + 3x) * x

Multiply F * x
xF = (20 + 3x) * x

Reorder the terms for easier multiplication:
xF = x(20 + 3x)
xF = (20 * x + 3x * x)
xF = (20x + 3x2)

Solving
xF = 20x + 3x2

Solving for variable 'x'.

Reorder the terms:
-20x + xF + -3x2 = 20x + 3x2 + -20x + -3x2

Reorder the terms:
-20x + xF + -3x2 = 20x + -20x + 3x2 + -3x2

Combine like terms: 20x + -20x = 0
-20x + xF + -3x2 = 0 + 3x2 + -3x2
-20x + xF + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20x + xF + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 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 '(-20 + F + -3x)' equal to zero and attempt to solve:

Simplifying
-20 + F + -3x = 0

Solving
-20 + F + -3x = 0

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

Add '20' to each side of the equation.
-20 + F + 20 + -3x = 0 + 20

Reorder the terms:
-20 + 20 + F + -3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + F + -3x = 0 + 20
F + -3x = 0 + 20

Combine like terms: 0 + 20 = 20
F + -3x = 20

Add '-1F' to each side of the equation.
F + -1F + -3x = 20 + -1F

Combine like terms: F + -1F = 0
0 + -3x = 20 + -1F
-3x = 20 + -1F

Divide each side by '-3'.
x = -6.666666667 + 0.3333333333F

Simplifying
x = -6.666666667 + 0.3333333333F
Solution
x = {0, -6.666666667 + 0.3333333333F}

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