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Simplifying G(x) = 5x2 + -35x Multiply G * x xG = 5x2 + -35x Reorder the terms: xG = -35x + 5x2 Solving xG = -35x + 5x2 Solving for variable 'x'. Reorder the terms: 35x + xG + -5x2 = -35x + 5x2 + 35x + -5x2 Reorder the terms: 35x + xG + -5x2 = -35x + 35x + 5x2 + -5x2 Combine like terms: -35x + 35x = 0 35x + xG + -5x2 = 0 + 5x2 + -5x2 35x + xG + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 35x + xG + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(35 + 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 '(35 + G + -5x)' equal to zero and attempt to solve: Simplifying 35 + G + -5x = 0 Solving 35 + G + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + G + -35 + -5x = 0 + -35 Reorder the terms: 35 + -35 + G + -5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + G + -5x = 0 + -35 G + -5x = 0 + -35 Combine like terms: 0 + -35 = -35 G + -5x = -35 Add '-1G' to each side of the equation. G + -1G + -5x = -35 + -1G Combine like terms: G + -1G = 0 0 + -5x = -35 + -1G -5x = -35 + -1G Divide each side by '-5'. x = 7 + 0.2G Simplifying x = 7 + 0.2GSolution
x = {0, 7 + 0.2G}
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