F(x)=-3.6x^2+4.8x

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Solution for F(x)=-3.6x^2+4.8x equation: 


Simplifying
F(x) = -3.6x2 + 4.8x

Multiply F * x
xF = -3.6x2 + 4.8x

Reorder the terms:
xF = 4.8x + -3.6x2

Solving
xF = 4.8x + -3.6x2

Solving for variable 'x'.

Reorder the terms:
-4.8x + xF + 3.6x2 = 4.8x + -3.6x2 + -4.8x + 3.6x2

Reorder the terms:
-4.8x + xF + 3.6x2 = 4.8x + -4.8x + -3.6x2 + 3.6x2

Combine like terms: 4.8x + -4.8x = 0.0
-4.8x + xF + 3.6x2 = 0.0 + -3.6x2 + 3.6x2
-4.8x + xF + 3.6x2 = -3.6x2 + 3.6x2

Combine like terms: -3.6x2 + 3.6x2 = 0.0
-4.8x + xF + 3.6x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4.8 + F + 3.6x) = 0.0


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 '(-4.8 + F + 3.6x)' equal to zero and attempt to solve:

Simplifying
-4.8 + F + 3.6x = 0

Solving
-4.8 + F + 3.6x = 0

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

Add '4.8' to each side of the equation.
-4.8 + F + 4.8 + 3.6x = 0 + 4.8

Reorder the terms:
-4.8 + 4.8 + F + 3.6x = 0 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + F + 3.6x = 0 + 4.8
F + 3.6x = 0 + 4.8

Combine like terms: 0 + 4.8 = 4.8
F + 3.6x = 4.8

Add '-1F' to each side of the equation.
F + -1F + 3.6x = 4.8 + -1F

Combine like terms: F + -1F = 0
0 + 3.6x = 4.8 + -1F
3.6x = 4.8 + -1F

Divide each side by '3.6'.
x = 1.333333333 + -0.2777777778F

Simplifying
x = 1.333333333 + -0.2777777778F
Solution
x = {0, 1.333333333 + -0.2777777778F}

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