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Simplifying v(10v + 1) = 9 Reorder the terms: v(1 + 10v) = 9 (1 * v + 10v * v) = 9 (1v + 10v2) = 9 Solving 1v + 10v2 = 9 Solving for variable 'v'. Reorder the terms: -9 + 1v + 10v2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 1v + 10v2 = 0 Factor a trinomial. (-1 + -1v)(9 + -10v) = 0Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 2
Set the factor '(9 + -10v)' equal to zero and attempt to solve: Simplifying 9 + -10v = 0 Solving 9 + -10v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10v = 0 + -9 -10v = 0 + -9 Combine like terms: 0 + -9 = -9 -10v = -9 Divide each side by '-10'. v = 0.9 Simplifying v = 0.9Solution
v = {-1, 0.9}
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