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Simplifying 21x2 + 58xy + 21y2 = 0 Reorder the terms: 58xy + 21x2 + 21y2 = 0 Solving 58xy + 21x2 + 21y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 3y)(3x + 7y) = 0Subproblem 1
Set the factor '(7x + 3y)' equal to zero and attempt to solve: Simplifying 7x + 3y = 0 Solving 7x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 7x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 0 + -3y 7x = 0 + -3y Remove the zero: 7x = -3y Divide each side by '7'. x = -0.4285714286y Simplifying x = -0.4285714286ySubproblem 2
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 = -2.333333333ySolution
x = {-0.4285714286y, -2.333333333y}
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