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Simplifying 3x(2x + 3y) = x (2x * 3x + 3y * 3x) = x Reorder the terms: (9xy + 6x2) = x (9xy + 6x2) = x Solving 9xy + 6x2 = x Solving for variable 'x'. Reorder the terms: -1x + 9xy + 6x2 = x + -1x Combine like terms: x + -1x = 0 -1x + 9xy + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 9y + 6x) = 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 '(-1 + 9y + 6x)' equal to zero and attempt to solve: Simplifying -1 + 9y + 6x = 0 Reorder the terms: -1 + 6x + 9y = 0 Solving -1 + 6x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6x + 1 + 9y = 0 + 1 Reorder the terms: -1 + 1 + 6x + 9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + 9y = 0 + 1 6x + 9y = 0 + 1 Combine like terms: 0 + 1 = 1 6x + 9y = 1 Add '-9y' to each side of the equation. 6x + 9y + -9y = 1 + -9y Combine like terms: 9y + -9y = 0 6x + 0 = 1 + -9y 6x = 1 + -9y Divide each side by '6'. x = 0.1666666667 + -1.5y Simplifying x = 0.1666666667 + -1.5ySolution
x = {0, 0.1666666667 + -1.5y}
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