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Simplifying 2y2 + 9wy + 7w2 = 0 Reorder the terms: 9wy + 7w2 + 2y2 = 0 Solving 9wy + 7w2 + 2y2 = 0 Solving for variable 'w'. Factor a trinomial. (7w + 2y)(w + y) = 0Subproblem 1
Set the factor '(7w + 2y)' equal to zero and attempt to solve: Simplifying 7w + 2y = 0 Solving 7w + 2y = 0 Move all terms containing w to the left, all other terms to the right. Add '-2y' to each side of the equation. 7w + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 7w + 0 = 0 + -2y 7w = 0 + -2y Remove the zero: 7w = -2y Divide each side by '7'. w = -0.2857142857y Simplifying w = -0.2857142857ySubproblem 2
Set the factor '(w + y)' equal to zero and attempt to solve: Simplifying w + y = 0 Solving w + y = 0 Move all terms containing w to the left, all other terms to the right. Add '-1y' to each side of the equation. w + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 w + 0 = 0 + -1y w = 0 + -1y Remove the zero: w = -1y Simplifying w = -1ySolution
w = {-0.2857142857y, -1y}
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