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Simplifying x3 + 14x2y + 48y2x = 0 Reorder the terms: 48xy2 + 14x2y + x3 = 0 Solving 48xy2 + 14x2y + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(48y2 + 14xy + x2) = 0 Factor a trinomial. x((8y + x)(6y + x)) = 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 '(8y + x)' equal to zero and attempt to solve: Simplifying 8y + x = 0 Reorder the terms: x + 8y = 0 Solving x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 x + 0 = 0 + -8y x = 0 + -8y Remove the zero: x = -8y Simplifying x = -8ySubproblem 3
Set the factor '(6y + x)' equal to zero and attempt to solve: Simplifying 6y + x = 0 Reorder the terms: x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6ySolution
x = {0, -8y, -6y}
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