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Simplifying 5xy(2x + -3) = 0 Reorder the terms: 5xy(-3 + 2x) = 0 (-3 * 5xy + 2x * 5xy) = 0 (-15xy + 10x2y) = 0 Solving -15xy + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(-3 + 2x) = 0 Ignore the factor 5.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 '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5}
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