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Simplifying 49y2 + 56yu + 16u2 = 0 Reorder the terms: 56uy + 16u2 + 49y2 = 0 Solving 56uy + 16u2 + 49y2 = 0 Solving for variable 'u'. Factor a trinomial. (4u + 7y)(4u + 7y) = 0Subproblem 1
Set the factor '(4u + 7y)' equal to zero and attempt to solve: Simplifying 4u + 7y = 0 Solving 4u + 7y = 0 Move all terms containing u to the left, all other terms to the right. Add '-7y' to each side of the equation. 4u + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4u + 0 = 0 + -7y 4u = 0 + -7y Remove the zero: 4u = -7y Divide each side by '4'. u = -1.75y Simplifying u = -1.75ySubproblem 2
Set the factor '(4u + 7y)' equal to zero and attempt to solve: Simplifying 4u + 7y = 0 Solving 4u + 7y = 0 Move all terms containing u to the left, all other terms to the right. Add '-7y' to each side of the equation. 4u + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4u + 0 = 0 + -7y 4u = 0 + -7y Remove the zero: 4u = -7y Divide each side by '4'. u = -1.75y Simplifying u = -1.75ySolution
u = {-1.75y, -1.75y}
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