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Simplifying v(13v + 3) = 10 Reorder the terms: v(3 + 13v) = 10 (3 * v + 13v * v) = 10 (3v + 13v2) = 10 Solving 3v + 13v2 = 10 Solving for variable 'v'. Reorder the terms: -10 + 3v + 13v2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 3v + 13v2 = 0 Factor a trinomial. (-1 + -1v)(10 + -13v) = 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 '(10 + -13v)' equal to zero and attempt to solve: Simplifying 10 + -13v = 0 Solving 10 + -13v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13v = 0 + -10 -13v = 0 + -10 Combine like terms: 0 + -10 = -10 -13v = -10 Divide each side by '-13'. v = 0.7692307692 Simplifying v = 0.7692307692Solution
v = {-1, 0.7692307692}
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