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Simplifying (7u + -3y)(7u + -3y) = 0 Multiply (7u + -3y) * (7u + -3y) (7u * (7u + -3y) + -3y * (7u + -3y)) = 0 ((7u * 7u + -3y * 7u) + -3y * (7u + -3y)) = 0 Reorder the terms: ((-21uy + 49u2) + -3y * (7u + -3y)) = 0 ((-21uy + 49u2) + -3y * (7u + -3y)) = 0 (-21uy + 49u2 + (7u * -3y + -3y * -3y)) = 0 (-21uy + 49u2 + (-21uy + 9y2)) = 0 Reorder the terms: (-21uy + -21uy + 49u2 + 9y2) = 0 Combine like terms: -21uy + -21uy = -42uy (-42uy + 49u2 + 9y2) = 0 Solving -42uy + 49u2 + 9y2 = 0 Solving for variable 'u'. Factor a trinomial. (7u + -3y)(7u + -3y) = 0Subproblem 1
Set the factor '(7u + -3y)' equal to zero and attempt to solve: Simplifying 7u + -3y = 0 Solving 7u + -3y = 0 Move all terms containing u to the left, all other terms to the right. Add '3y' to each side of the equation. 7u + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7u + 0 = 0 + 3y 7u = 0 + 3y Remove the zero: 7u = 3y Divide each side by '7'. u = 0.4285714286y Simplifying u = 0.4285714286ySubproblem 2
Set the factor '(7u + -3y)' equal to zero and attempt to solve: Simplifying 7u + -3y = 0 Solving 7u + -3y = 0 Move all terms containing u to the left, all other terms to the right. Add '3y' to each side of the equation. 7u + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7u + 0 = 0 + 3y 7u = 0 + 3y Remove the zero: 7u = 3y Divide each side by '7'. u = 0.4285714286y Simplifying u = 0.4285714286ySolution
u = {0.4285714286y, 0.4285714286y}
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