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Simplifying 2x(3x + -5y) = 0 (3x * 2x + -5y * 2x) = 0 Reorder the terms: (-10xy + 6x2) = 0 (-10xy + 6x2) = 0 Solving -10xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5y + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, 1.666666667y}
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