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Simplifying (1 + -1v)(2v + 7) = 0 Reorder the terms: (1 + -1v)(7 + 2v) = 0 Multiply (1 + -1v) * (7 + 2v) (1(7 + 2v) + -1v * (7 + 2v)) = 0 ((7 * 1 + 2v * 1) + -1v * (7 + 2v)) = 0 ((7 + 2v) + -1v * (7 + 2v)) = 0 (7 + 2v + (7 * -1v + 2v * -1v)) = 0 (7 + 2v + (-7v + -2v2)) = 0 Combine like terms: 2v + -7v = -5v (7 + -5v + -2v2) = 0 Solving 7 + -5v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -1v)(7 + 2v) = 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 '(7 + 2v)' equal to zero and attempt to solve: Simplifying 7 + 2v = 0 Solving 7 + 2v = 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 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5Solution
v = {1, -3.5}
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