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Simplifying 10x4y5 + 15x3y6 = 0 Reorder the terms: 15x3y6 + 10x4y5 = 0 Solving 15x3y6 + 10x4y5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x3y5'. 5x3y5(3y + 2x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x3y5' equal to zero and attempt to solve: Simplifying x3y5 = 0 Solving x3y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y5 = 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 '(3y + 2x)' equal to zero and attempt to solve: Simplifying 3y + 2x = 0 Reorder the terms: 2x + 3y = 0 Solving 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5ySolution
x = {-1.5y}
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