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Simplifying (v + -3)(v + -7) = 0 Reorder the terms: (-3 + v)(v + -7) = 0 Reorder the terms: (-3 + v)(-7 + v) = 0 Multiply (-3 + v) * (-7 + v) (-3(-7 + v) + v(-7 + v)) = 0 ((-7 * -3 + v * -3) + v(-7 + v)) = 0 ((21 + -3v) + v(-7 + v)) = 0 (21 + -3v + (-7 * v + v * v)) = 0 (21 + -3v + (-7v + v2)) = 0 Combine like terms: -3v + -7v = -10v (21 + -10v + v2) = 0 Solving 21 + -10v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -1v)(7 + -1v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
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 = 7Solution
v = {3, 7}
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