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Simplifying -3xy(4x + -3y + -1) = 0 Reorder the terms: -3xy(-1 + 4x + -3y) = 0 (-1 * -3xy + 4x * -3xy + -3y * -3xy) = 0 Reorder the terms: (3xy + 9xy2 + -12x2y) = 0 (3xy + 9xy2 + -12x2y) = 0 Solving 3xy + 9xy2 + -12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(1 + 3y + -4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(1 + 3y + -4x)' equal to zero and attempt to solve: Simplifying 1 + 3y + -4x = 0 Reorder the terms: 1 + -4x + 3y = 0 Solving 1 + -4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4x + -1 + 3y = 0 + -1 Reorder the terms: 1 + -1 + -4x + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x + 3y = 0 + -1 -4x + 3y = 0 + -1 Combine like terms: 0 + -1 = -1 -4x + 3y = -1 Add '-3y' to each side of the equation. -4x + 3y + -3y = -1 + -3y Combine like terms: 3y + -3y = 0 -4x + 0 = -1 + -3y -4x = -1 + -3y Divide each side by '-4'. x = 0.25 + 0.75y Simplifying x = 0.25 + 0.75ySolution
x = {0.25 + 0.75y}
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