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Simplifying 18x2 + 45xy + -8y2 = 0 Reorder the terms: 45xy + 18x2 + -8y2 = 0 Solving 45xy + 18x2 + -8y2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + -1y)(3x + 8y) = 0Subproblem 1
Set the factor '(6x + -1y)' equal to zero and attempt to solve: Simplifying 6x + -1y = 0 Solving 6x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667ySubproblem 2
Set the factor '(3x + 8y)' equal to zero and attempt to solve: Simplifying 3x + 8y = 0 Solving 3x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 3x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 3x + 0 = 0 + -8y 3x = 0 + -8y Remove the zero: 3x = -8y Divide each side by '3'. x = -2.666666667y Simplifying x = -2.666666667ySolution
x = {0.1666666667y, -2.666666667y}
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