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Simplifying (9v + y)(9v + y) = 0 Multiply (9v + y) * (9v + y) (9v * (9v + y) + y(9v + y)) = 0 ((9v * 9v + y * 9v) + y(9v + y)) = 0 Reorder the terms: ((9vy + 81v2) + y(9v + y)) = 0 ((9vy + 81v2) + y(9v + y)) = 0 (9vy + 81v2 + (9v * y + y * y)) = 0 (9vy + 81v2 + (9vy + y2)) = 0 Reorder the terms: (9vy + 9vy + 81v2 + y2) = 0 Combine like terms: 9vy + 9vy = 18vy (18vy + 81v2 + y2) = 0 Solving 18vy + 81v2 + y2 = 0 Solving for variable 'v'. Factor a trinomial. (9v + y)(9v + y) = 0Subproblem 1
Set the factor '(9v + y)' equal to zero and attempt to solve: Simplifying 9v + y = 0 Solving 9v + y = 0 Move all terms containing v to the left, all other terms to the right. Add '-1y' to each side of the equation. 9v + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9v + 0 = 0 + -1y 9v = 0 + -1y Remove the zero: 9v = -1y Divide each side by '9'. v = -0.1111111111y Simplifying v = -0.1111111111ySubproblem 2
Set the factor '(9v + y)' equal to zero and attempt to solve: Simplifying 9v + y = 0 Solving 9v + y = 0 Move all terms containing v to the left, all other terms to the right. Add '-1y' to each side of the equation. 9v + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9v + 0 = 0 + -1y 9v = 0 + -1y Remove the zero: 9v = -1y Divide each side by '9'. v = -0.1111111111y Simplifying v = -0.1111111111ySolution
v = {-0.1111111111y, -0.1111111111y}
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