F(x)=[0.5x]

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Solution for F(x)=[0.5x] equation:


Simplifying
F(x) = [0.5x]

Multiply F * x
xF = [0.5x]

Solving
xF = [0.5x]

Solving for variable 'x'.

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

Add '[-0.5x]' to each side of the equation.
[-0.5x] + xF = [0.5x] + [-0.5x]

Combine like terms: [0.5x] + [-0.5x] = 0.0
[-0.5x] + xF = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.5 + F) = 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 '(-0.5 + F)' equal to zero and attempt to solve: Simplifying -0.5 + F = 0 Solving -0.5 + F = 0 Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + F = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + F = 0 + 0.5 F = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 F = 0.5 Add '-1F' to each side of the equation. F + -1F = 0.5 + -1F Combine like terms: F + -1F = 0 0 = 0.5 + -1F Simplifying 0 = 0.5 + -1F The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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