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Simplifying 10x2 + -1xy + -24y2 = 0 Reorder the terms: -1xy + 10x2 + -24y2 = 0 Solving -1xy + 10x2 + -24y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -8y)(2x + 3y) = 0Subproblem 1
Set the factor '(5x + -8y)' equal to zero and attempt to solve: Simplifying 5x + -8y = 0 Solving 5x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 5x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 5x + 0 = 0 + 8y 5x = 0 + 8y Remove the zero: 5x = 8y Divide each side by '5'. x = 1.6y Simplifying x = 1.6ySubproblem 2
Set the factor '(2x + 3y)' equal to zero and attempt to solve: Simplifying 2x + 3y = 0 Solving 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5ySolution
x = {1.6y, -1.5y}
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