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Simplifying x2 + -3x + -40y2 = 0 Reorder the terms: -3x + x2 + -40y2 = 0 Solving -3x + x2 + -40y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -8y)(x + 5y) = 0Subproblem 1
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 = 8ySubproblem 2
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 = -5ySolution
x = {8y, -5y}
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