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Simplifying w2 + -14wy + 49y2 = 0 Reorder the terms: -14wy + w2 + 49y2 = 0 Solving -14wy + w2 + 49y2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -7y)(w + -7y) = 0Subproblem 1
Set the factor '(w + -7y)' equal to zero and attempt to solve: Simplifying w + -7y = 0 Solving w + -7y = 0 Move all terms containing w to the left, all other terms to the right. Add '7y' to each side of the equation. w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 w + 0 = 0 + 7y w = 0 + 7y Remove the zero: w = 7y Simplifying w = 7ySubproblem 2
Set the factor '(w + -7y)' equal to zero and attempt to solve: Simplifying w + -7y = 0 Solving w + -7y = 0 Move all terms containing w to the left, all other terms to the right. Add '7y' to each side of the equation. w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 w + 0 = 0 + 7y w = 0 + 7y Remove the zero: w = 7y Simplifying w = 7ySolution
w = {7y, 7y}
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