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Simplifying 8x2 + -21xy + -9y2 = 0 Reorder the terms: -21xy + 8x2 + -9y2 = 0 Solving -21xy + 8x2 + -9y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -3y)(8x + 3y) = 0Subproblem 1
Set the factor '(x + -3y)' equal to zero and attempt to solve: Simplifying x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3ySubproblem 2
Set the factor '(8x + 3y)' equal to zero and attempt to solve: Simplifying 8x + 3y = 0 Solving 8x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375ySolution
x = {3y, -0.375y}
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