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Simplifying 4xy2(2x + 5y) = x (2x * 4xy2 + 5y * 4xy2) = x Reorder the terms: (20xy3 + 8x2y2) = x (20xy3 + 8x2y2) = x Solving 20xy3 + 8x2y2 = x Solving for variable 'x'. Reorder the terms: -1x + 20xy3 + 8x2y2 = x + -1x Combine like terms: x + -1x = 0 -1x + 20xy3 + 8x2y2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 20y3 + 8xy2) = 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 + 20y3 + 8xy2)' equal to zero and attempt to solve: Simplifying -1 + 20y3 + 8xy2 = 0 Reorder the terms: -1 + 8xy2 + 20y3 = 0 Solving -1 + 8xy2 + 20y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8xy2 + 1 + 20y3 = 0 + 1 Reorder the terms: -1 + 1 + 8xy2 + 20y3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8xy2 + 20y3 = 0 + 1 8xy2 + 20y3 = 0 + 1 Combine like terms: 0 + 1 = 1 8xy2 + 20y3 = 1 Add '-20y3' to each side of the equation. 8xy2 + 20y3 + -20y3 = 1 + -20y3 Combine like terms: 20y3 + -20y3 = 0 8xy2 + 0 = 1 + -20y3 8xy2 = 1 + -20y3 Divide each side by '8y2'. x = 0.125y-2 + -2.5y Simplifying x = 0.125y-2 + -2.5ySolution
x = {0, 0.125y-2 + -2.5y}
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