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Simplifying 3x(2 + -5x + 3y) = 0 (2 * 3x + -5x * 3x + 3y * 3x) = 0 Reorder the terms: (6x + 9xy + -15x2) = 0 (6x + 9xy + -15x2) = 0 Solving 6x + 9xy + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + 3y + -5x) = 0 Ignore the factor 3.Subproblem 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 '(2 + 3y + -5x)' equal to zero and attempt to solve: Simplifying 2 + 3y + -5x = 0 Reorder the terms: 2 + -5x + 3y = 0 Solving 2 + -5x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5x + -2 + 3y = 0 + -2 Reorder the terms: 2 + -2 + -5x + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x + 3y = 0 + -2 -5x + 3y = 0 + -2 Combine like terms: 0 + -2 = -2 -5x + 3y = -2 Add '-3y' to each side of the equation. -5x + 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 -5x + 0 = -2 + -3y -5x = -2 + -3y Divide each side by '-5'. x = 0.4 + 0.6y Simplifying x = 0.4 + 0.6ySolution
x = {0, 0.4 + 0.6y}
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