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Simplifying 5w2 + -13wy + 6y2 = 0 Reorder the terms: -13wy + 5w2 + 6y2 = 0 Solving -13wy + 5w2 + 6y2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -2y)(5w + -3y) = 0Subproblem 1
Set the factor '(w + -2y)' equal to zero and attempt to solve: Simplifying w + -2y = 0 Solving w + -2y = 0 Move all terms containing w to the left, all other terms to the right. Add '2y' to each side of the equation. w + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 w + 0 = 0 + 2y w = 0 + 2y Remove the zero: w = 2y Simplifying w = 2ySubproblem 2
Set the factor '(5w + -3y)' equal to zero and attempt to solve: Simplifying 5w + -3y = 0 Solving 5w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 5w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5w + 0 = 0 + 3y 5w = 0 + 3y Remove the zero: 5w = 3y Divide each side by '5'. w = 0.6y Simplifying w = 0.6ySolution
w = {2y, 0.6y}
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