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Simplifying 21x2 + 13xy + -20y2 = 0 Reorder the terms: 13xy + 21x2 + -20y2 = 0 Solving 13xy + 21x2 + -20y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -5y)(3x + 4y) = 0Subproblem 1
Set the factor '(7x + -5y)' equal to zero and attempt to solve: Simplifying 7x + -5y = 0 Solving 7x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 7x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 7x + 0 = 0 + 5y 7x = 0 + 5y Remove the zero: 7x = 5y Divide each side by '7'. x = 0.7142857143y Simplifying x = 0.7142857143ySubproblem 2
Set the factor '(3x + 4y)' equal to zero and attempt to solve: Simplifying 3x + 4y = 0 Solving 3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = 0 + -4y 3x = 0 + -4y Remove the zero: 3x = -4y Divide each side by '3'. x = -1.333333333y Simplifying x = -1.333333333ySolution
x = {0.7142857143y, -1.333333333y}
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