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Simplifying G(x) = 5x2 + -80x Multiply G * x xG = 5x2 + -80x Reorder the terms: xG = -80x + 5x2 Solving xG = -80x + 5x2 Solving for variable 'x'. Reorder the terms: 80x + xG + -5x2 = -80x + 5x2 + 80x + -5x2 Reorder the terms: 80x + xG + -5x2 = -80x + 80x + 5x2 + -5x2 Combine like terms: -80x + 80x = 0 80x + xG + -5x2 = 0 + 5x2 + -5x2 80x + xG + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 80x + xG + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(80 + G + -5x) = 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 '(80 + G + -5x)' equal to zero and attempt to solve: Simplifying 80 + G + -5x = 0 Solving 80 + G + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + G + -80 + -5x = 0 + -80 Reorder the terms: 80 + -80 + G + -5x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + G + -5x = 0 + -80 G + -5x = 0 + -80 Combine like terms: 0 + -80 = -80 G + -5x = -80 Add '-1G' to each side of the equation. G + -1G + -5x = -80 + -1G Combine like terms: G + -1G = 0 0 + -5x = -80 + -1G -5x = -80 + -1G Divide each side by '-5'. x = 16 + 0.2G Simplifying x = 16 + 0.2GSolution
x = {0, 16 + 0.2G}
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