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Simplifying x2 + 6xy + 9x2 = 0 Reorder the terms: 6xy + x2 + 9x2 = 0 Combine like terms: x2 + 9x2 = 10x2 6xy + 10x2 = 0 Solving 6xy + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y + 5x) = 0 Ignore the factor 2.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 '(3y + 5x)' equal to zero and attempt to solve: Simplifying 3y + 5x = 0 Reorder the terms: 5x + 3y = 0 Solving 5x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 0 + -3y 5x = 0 + -3y Remove the zero: 5x = -3y Divide each side by '5'. x = -0.6y Simplifying x = -0.6ySolution
x = {0, -0.6y}
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