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Simplifying (v + 5)(v + -12) = 0 Reorder the terms: (5 + v)(v + -12) = 0 Reorder the terms: (5 + v)(-12 + v) = 0 Multiply (5 + v) * (-12 + v) (5(-12 + v) + v(-12 + v)) = 0 ((-12 * 5 + v * 5) + v(-12 + v)) = 0 ((-60 + 5v) + v(-12 + v)) = 0 (-60 + 5v + (-12 * v + v * v)) = 0 (-60 + 5v + (-12v + v2)) = 0 Combine like terms: 5v + -12v = -7v (-60 + -7v + v2) = 0 Solving -60 + -7v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(12 + -1v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(12 + -1v)' equal to zero and attempt to solve: Simplifying 12 + -1v = 0 Solving 12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 0 + -12 -1v = 0 + -12 Combine like terms: 0 + -12 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12Solution
v = {-5, 12}
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