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Simplifying (-4x3y)(2x3 + -5x2y) = 0 Remove parenthesis around (-4x3y) -4x3y(2x3 + -5x2y) = 0 Reorder the terms: -4x3y(-5x2y + 2x3) = 0 (-5x2y * -4x3y + 2x3 * -4x3y) = 0 (20x5y2 + -8x6y) = 0 Solving 20x5y2 + -8x6y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x5y'. 4x5y(5y + -2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x5y' equal to zero and attempt to solve: Simplifying x5y = 0 Solving x5y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y = 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 + -2x)' equal to zero and attempt to solve: Simplifying 5y + -2x = 0 Reorder the terms: -2x + 5y = 0 Solving -2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 0 + -5y -2x = 0 + -5y Remove the zero: -2x = -5y Divide each side by '-2'. x = 2.5y Simplifying x = 2.5ySolution
x = {2.5y}
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