F(x)=-6.28x^2+4.5x

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Solution for F(x)=-6.28x^2+4.5x equation: 


Simplifying
F(x) = -6.28x2 + 4.5x

Multiply F * x
xF = -6.28x2 + 4.5x

Reorder the terms:
xF = 4.5x + -6.28x2

Solving
xF = 4.5x + -6.28x2

Solving for variable 'x'.

Reorder the terms:
-4.5x + xF + 6.28x2 = 4.5x + -6.28x2 + -4.5x + 6.28x2

Reorder the terms:
-4.5x + xF + 6.28x2 = 4.5x + -4.5x + -6.28x2 + 6.28x2

Combine like terms: 4.5x + -4.5x = 0.0
-4.5x + xF + 6.28x2 = 0.0 + -6.28x2 + 6.28x2
-4.5x + xF + 6.28x2 = -6.28x2 + 6.28x2

Combine like terms: -6.28x2 + 6.28x2 = 0.00
-4.5x + xF + 6.28x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4.5 + F + 6.28x) = 0.00


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 '(-4.5 + F + 6.28x)' equal to zero and attempt to solve:

Simplifying
-4.5 + F + 6.28x = 0

Solving
-4.5 + F + 6.28x = 0

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

Add '4.5' to each side of the equation.
-4.5 + F + 4.5 + 6.28x = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + F + 6.28x = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + F + 6.28x = 0 + 4.5
F + 6.28x = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
F + 6.28x = 4.5

Add '-1F' to each side of the equation.
F + -1F + 6.28x = 4.5 + -1F

Combine like terms: F + -1F = 0
0 + 6.28x = 4.5 + -1F
6.28x = 4.5 + -1F

Divide each side by '6.28'.
x = 0.7165605096 + -0.1592356688F

Simplifying
x = 0.7165605096 + -0.1592356688F
Solution
x = {0, 0.7165605096 + -0.1592356688F}

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