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Simplifying G(4x) = 2x2 + -1x Remove parenthesis around (4x) G * 4x = 2x2 + -1x Reorder the terms for easier multiplication: 4G * x = 2x2 + -1x Multiply G * x 4xG = 2x2 + -1x Reorder the terms: 4xG = -1x + 2x2 Solving 4xG = -1x + 2x2 Solving for variable 'x'. Reorder the terms: x + 4xG + -2x2 = -1x + 2x2 + x + -2x2 Reorder the terms: x + 4xG + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 x + 4xG + -2x2 = 0 + 2x2 + -2x2 x + 4xG + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 x + 4xG + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 4G + -2x) = 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 '(1 + 4G + -2x)' equal to zero and attempt to solve: Simplifying 1 + 4G + -2x = 0 Solving 1 + 4G + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4G + -1 + -2x = 0 + -1 Reorder the terms: 1 + -1 + 4G + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4G + -2x = 0 + -1 4G + -2x = 0 + -1 Combine like terms: 0 + -1 = -1 4G + -2x = -1 Add '-4G' to each side of the equation. 4G + -4G + -2x = -1 + -4G Combine like terms: 4G + -4G = 0 0 + -2x = -1 + -4G -2x = -1 + -4G Divide each side by '-2'. x = 0.5 + 2G Simplifying x = 0.5 + 2GSolution
x = {0, 0.5 + 2G}
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