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Simplifying (3xy + -5y2)(-4x) = 0 Remove parenthesis around (-4x) (3xy + -5y2) * -4x = 0 Reorder the terms for easier multiplication: -4x(3xy + -5y2) = 0 (3xy * -4x + -5y2 * -4x) = 0 Reorder the terms: (20xy2 + -12x2y) = 0 (20xy2 + -12x2y) = 0 Solving 20xy2 + -12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(5y + -3x) = 0 Ignore the factor 4.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 '(5y + -3x)' equal to zero and attempt to solve: Simplifying 5y + -3x = 0 Reorder the terms: -3x + 5y = 0 Solving -3x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = 0 + -5y -3x = 0 + -5y Remove the zero: -3x = -5y Divide each side by '-3'. x = 1.666666667y Simplifying x = 1.666666667ySolution
x = {1.666666667y}
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