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Simplifying (v + 7)(v + -6) = 0 Reorder the terms: (7 + v)(v + -6) = 0 Reorder the terms: (7 + v)(-6 + v) = 0 Multiply (7 + v) * (-6 + v) (7(-6 + v) + v(-6 + v)) = 0 ((-6 * 7 + v * 7) + v(-6 + v)) = 0 ((-42 + 7v) + v(-6 + v)) = 0 (-42 + 7v + (-6 * v + v * v)) = 0 (-42 + 7v + (-6v + v2)) = 0 Combine like terms: 7v + -6v = 1v (-42 + 1v + v2) = 0 Solving -42 + 1v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(6 + -1v) = 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 '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-7, 6}
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