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Simplifying 16x2 + 16x2 + 3xy = 0 Reorder the terms: 3xy + 16x2 + 16x2 = 0 Combine like terms: 16x2 + 16x2 = 32x2 3xy + 32x2 = 0 Solving 3xy + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3y + 32x) = 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 '(3y + 32x)' equal to zero and attempt to solve: Simplifying 3y + 32x = 0 Reorder the terms: 32x + 3y = 0 Solving 32x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 32x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 32x + 0 = 0 + -3y 32x = 0 + -3y Remove the zero: 32x = -3y Divide each side by '32'. x = -0.09375y Simplifying x = -0.09375ySolution
x = {0, -0.09375y}
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