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Simplifying 5x2 + -3xy + -14y2 = 0 Reorder the terms: -3xy + 5x2 + -14y2 = 0 Solving -3xy + 5x2 + -14y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -2y)(5x + 7y) = 0Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySubproblem 2
Set the factor '(5x + 7y)' equal to zero and attempt to solve: Simplifying 5x + 7y = 0 Solving 5x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 5x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 5x + 0 = 0 + -7y 5x = 0 + -7y Remove the zero: 5x = -7y Divide each side by '5'. x = -1.4y Simplifying x = -1.4ySolution
x = {2y, -1.4y}
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