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Simplifying 9xy + 5x2 + 15x + -10xy = 0 Reorder the terms: 15x + 9xy + -10xy + 5x2 = 0 Combine like terms: 9xy + -10xy = -1xy 15x + -1xy + 5x2 = 0 Solving 15x + -1xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -1y + 5x) = 0Subproblem 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 '(15 + -1y + 5x)' equal to zero and attempt to solve: Simplifying 15 + -1y + 5x = 0 Reorder the terms: 15 + 5x + -1y = 0 Solving 15 + 5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5x + -15 + -1y = 0 + -15 Reorder the terms: 15 + -15 + 5x + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x + -1y = 0 + -15 5x + -1y = 0 + -15 Combine like terms: 0 + -15 = -15 5x + -1y = -15 Add 'y' to each side of the equation. 5x + -1y + y = -15 + y Combine like terms: -1y + y = 0 5x + 0 = -15 + y 5x = -15 + y Divide each side by '5'. x = -3 + 0.2y Simplifying x = -3 + 0.2ySolution
x = {0, -3 + 0.2y}
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