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Simplifying (2v + -3)(7 + v) = 0 Reorder the terms: (-3 + 2v)(7 + v) = 0 Multiply (-3 + 2v) * (7 + v) (-3(7 + v) + 2v * (7 + v)) = 0 ((7 * -3 + v * -3) + 2v * (7 + v)) = 0 ((-21 + -3v) + 2v * (7 + v)) = 0 (-21 + -3v + (7 * 2v + v * 2v)) = 0 (-21 + -3v + (14v + 2v2)) = 0 Combine like terms: -3v + 14v = 11v (-21 + 11v + 2v2) = 0 Solving -21 + 11v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(3 + -2v) = 0Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {-7, 1.5}
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