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Simplifying x2 + 4xy + -32y2 = 0 Reorder the terms: 4xy + x2 + -32y2 = 0 Solving 4xy + x2 + -32y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -4y)(x + 8y) = 0Subproblem 1
Set the factor '(x + -4y)' equal to zero and attempt to solve: Simplifying x + -4y = 0 Solving x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x + 0 = 0 + 4y x = 0 + 4y Remove the zero: x = 4y Simplifying x = 4ySubproblem 2
Set the factor '(x + 8y)' equal to zero and attempt to solve: Simplifying 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 = -8ySolution
x = {4y, -8y}
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