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Simplifying 6x3y2 + 9x2y3 + 15x2y2 = 0 Reorder the terms: 15x2y2 + 9x2y3 + 6x3y2 = 0 Solving 15x2y2 + 9x2y3 + 6x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y2'. 3x2y2(5 + 3y + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(5 + 3y + 2x)' equal to zero and attempt to solve: Simplifying 5 + 3y + 2x = 0 Reorder the terms: 5 + 2x + 3y = 0 Solving 5 + 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2x + -5 + 3y = 0 + -5 Reorder the terms: 5 + -5 + 2x + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + 3y = 0 + -5 2x + 3y = 0 + -5 Combine like terms: 0 + -5 = -5 2x + 3y = -5 Add '-3y' to each side of the equation. 2x + 3y + -3y = -5 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -5 + -3y 2x = -5 + -3y Divide each side by '2'. x = -2.5 + -1.5y Simplifying x = -2.5 + -1.5ySolution
x = {-2.5 + -1.5y}
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