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Simplifying G(x) = 0.5x2 Multiply G * x xG = 0.5x2 Solving xG = 0.5x2 Solving for variable 'x'. Combine like terms: 0.5x2 + -0.5x2 = 0.0 xG + -0.5x2 = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(G + -0.5x) = 0.0Subproblem 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 = 0Subproblem 2
Set the factor '(G + -0.5x)' equal to zero and attempt to solve: Simplifying G + -0.5x = 0 Solving G + -0.5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1G' to each side of the equation. G + -1G + -0.5x = 0 + -1G Combine like terms: G + -1G = 0 0 + -0.5x = 0 + -1G -0.5x = 0 + -1G Remove the zero: -0.5x = -1G Divide each side by '-0.5'. x = 2G Simplifying x = 2GSolution
x = {0, 2G}
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