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Simplifying 21x2 + -43xy + -14y2 = 0 Reorder the terms: -43xy + 21x2 + -14y2 = 0 Solving -43xy + 21x2 + -14y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -7y)(7x + 2y) = 0Subproblem 1
Set the factor '(3x + -7y)' equal to zero and attempt to solve: Simplifying 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 0 + 7y 3x = 0 + 7y Remove the zero: 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333ySubproblem 2
Set the factor '(7x + 2y)' equal to zero and attempt to solve: Simplifying 7x + 2y = 0 Solving 7x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 7x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = 0 + -2y 7x = 0 + -2y Remove the zero: 7x = -2y Divide each side by '7'. x = -0.2857142857y Simplifying x = -0.2857142857ySolution
x = {2.333333333y, -0.2857142857y}
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