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Simplifying 21x2 + 23xy + -20y2 = 0 Reorder the terms: 23xy + 21x2 + -20y2 = 0 Solving 23xy + 21x2 + -20y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -4y)(3x + 5y) = 0Subproblem 1
Set the factor '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 0 + 4y 7x = 0 + 4y Remove the zero: 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714ySubproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve: Simplifying 3x + 5y = 0 Solving 3x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 0 + -5y 3x = 0 + -5y Remove the zero: 3x = -5y Divide each side by '3'. x = -1.666666667y Simplifying x = -1.666666667ySolution
x = {0.5714285714y, -1.666666667y}
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