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Simplifying x2 + 13xy + 42xy2 = 0 Reorder the terms: 13xy + 42xy2 + x2 = 0 Solving 13xy + 42xy2 + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(13y + 42y2 + 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 '(13y + 42y2 + x)' equal to zero and attempt to solve: Simplifying 13y + 42y2 + x = 0 Reorder the terms: x + 13y + 42y2 = 0 Solving x + 13y + 42y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. x + 13y + -13y + 42y2 = 0 + -13y Combine like terms: 13y + -13y = 0 x + 0 + 42y2 = 0 + -13y x + 42y2 = 0 + -13y Remove the zero: x + 42y2 = -13y Add '-42y2' to each side of the equation. x + 42y2 + -42y2 = -13y + -42y2 Combine like terms: 42y2 + -42y2 = 0 x + 0 = -13y + -42y2 x = -13y + -42y2 Simplifying x = -13y + -42y2Solution
x = {0, -13y + -42y2}
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