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Simplifying x2 + 3xy + -40y2 = 0 Reorder the terms: 3xy + x2 + -40y2 = 0 Solving 3xy + x2 + -40y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -5y)(x + 8y) = 0Subproblem 1
Set the factor '(x + -5y)' equal to zero and attempt to solve: Simplifying x + -5y = 0 Solving x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 x + 0 = 0 + 5y x = 0 + 5y Remove the zero: x = 5y Simplifying x = 5ySubproblem 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 = {5y, -8y}
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