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Simplifying 3x2 + -9xy + 5x = 0 Reorder the terms: 5x + -9xy + 3x2 = 0 Solving 5x + -9xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -9y + 3x) = 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 '(5 + -9y + 3x)' equal to zero and attempt to solve: Simplifying 5 + -9y + 3x = 0 Reorder the terms: 5 + 3x + -9y = 0 Solving 5 + 3x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + -5 + -9y = 0 + -5 Reorder the terms: 5 + -5 + 3x + -9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x + -9y = 0 + -5 3x + -9y = 0 + -5 Combine like terms: 0 + -5 = -5 3x + -9y = -5 Add '9y' to each side of the equation. 3x + -9y + 9y = -5 + 9y Combine like terms: -9y + 9y = 0 3x + 0 = -5 + 9y 3x = -5 + 9y Divide each side by '3'. x = -1.666666667 + 3y Simplifying x = -1.666666667 + 3ySolution
x = {0, -1.666666667 + 3y}
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