F(x)=24x^2-8x

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Solution for F(x)=24x^2-8x equation: 


Simplifying
F(x) = 24x2 + -8x

Multiply F * x
xF = 24x2 + -8x

Reorder the terms:
xF = -8x + 24x2

Solving
xF = -8x + 24x2

Solving for variable 'x'.

Reorder the terms:
8x + xF + -24x2 = -8x + 24x2 + 8x + -24x2

Reorder the terms:
8x + xF + -24x2 = -8x + 8x + 24x2 + -24x2

Combine like terms: -8x + 8x = 0
8x + xF + -24x2 = 0 + 24x2 + -24x2
8x + xF + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
8x + xF + -24x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + F + -24x) = 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 '(8 + F + -24x)' equal to zero and attempt to solve:

Simplifying
8 + F + -24x = 0

Solving
8 + F + -24x = 0

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

Add '-8' to each side of the equation.
8 + F + -8 + -24x = 0 + -8

Reorder the terms:
8 + -8 + F + -24x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + F + -24x = 0 + -8
F + -24x = 0 + -8

Combine like terms: 0 + -8 = -8
F + -24x = -8

Add '-1F' to each side of the equation.
F + -1F + -24x = -8 + -1F

Combine like terms: F + -1F = 0
0 + -24x = -8 + -1F
-24x = -8 + -1F

Divide each side by '-24'.
x = 0.3333333333 + 0.04166666667F

Simplifying
x = 0.3333333333 + 0.04166666667F
Solution
x = {0, 0.3333333333 + 0.04166666667F}

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