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Simplifying 2x(4x2y + xy2 + 5xy) = 0 Reorder the terms: 2x(5xy + xy2 + 4x2y) = 0 (5xy * 2x + xy2 * 2x + 4x2y * 2x) = 0 (10x2y + 2x2y2 + 8x3y) = 0 Solving 10x2y + 2x2y2 + 8x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y'. 2x2y(5 + y + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + y + 4x)' equal to zero and attempt to solve: Simplifying 5 + y + 4x = 0 Reorder the terms: 5 + 4x + y = 0 Solving 5 + 4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4x + -5 + y = 0 + -5 Reorder the terms: 5 + -5 + 4x + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + y = 0 + -5 4x + y = 0 + -5 Combine like terms: 0 + -5 = -5 4x + y = -5 Add '-1y' to each side of the equation. 4x + y + -1y = -5 + -1y Combine like terms: y + -1y = 0 4x + 0 = -5 + -1y 4x = -5 + -1y Divide each side by '4'. x = -1.25 + -0.25y Simplifying x = -1.25 + -0.25ySolution
x = {-1.25 + -0.25y}
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