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Simplifying 9y2 + -42yw + 49w2 = 0 Reorder the terms: -42wy + 49w2 + 9y2 = 0 Solving -42wy + 49w2 + 9y2 = 0 Solving for variable 'w'. Factor a trinomial. (7w + -3y)(7w + -3y) = 0Subproblem 1
Set the factor '(7w + -3y)' equal to zero and attempt to solve: Simplifying 7w + -3y = 0 Solving 7w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 7w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7w + 0 = 0 + 3y 7w = 0 + 3y Remove the zero: 7w = 3y Divide each side by '7'. w = 0.4285714286y Simplifying w = 0.4285714286ySubproblem 2
Set the factor '(7w + -3y)' equal to zero and attempt to solve: Simplifying 7w + -3y = 0 Solving 7w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 7w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7w + 0 = 0 + 3y 7w = 0 + 3y Remove the zero: 7w = 3y Divide each side by '7'. w = 0.4285714286y Simplifying w = 0.4285714286ySolution
w = {0.4285714286y, 0.4285714286y}
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