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Simplifying 49y2 + 16w2 + -56yw = 0 Reorder the terms: -56wy + 16w2 + 49y2 = 0 Solving -56wy + 16w2 + 49y2 = 0 Solving for variable 'w'. Factor a trinomial. (4w + -7y)(4w + -7y) = 0Subproblem 1
Set the factor '(4w + -7y)' equal to zero and attempt to solve: Simplifying 4w + -7y = 0 Solving 4w + -7y = 0 Move all terms containing w to the left, all other terms to the right. Add '7y' to each side of the equation. 4w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 4w + 0 = 0 + 7y 4w = 0 + 7y Remove the zero: 4w = 7y Divide each side by '4'. w = 1.75y Simplifying w = 1.75ySubproblem 2
Set the factor '(4w + -7y)' equal to zero and attempt to solve: Simplifying 4w + -7y = 0 Solving 4w + -7y = 0 Move all terms containing w to the left, all other terms to the right. Add '7y' to each side of the equation. 4w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 4w + 0 = 0 + 7y 4w = 0 + 7y Remove the zero: 4w = 7y Divide each side by '4'. w = 1.75y Simplifying w = 1.75ySolution
w = {1.75y, 1.75y}
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