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Simplifying (v + 4)(v + -3) = 0 Reorder the terms: (4 + v)(v + -3) = 0 Reorder the terms: (4 + v)(-3 + v) = 0 Multiply (4 + v) * (-3 + v) (4(-3 + v) + v(-3 + v)) = 0 ((-3 * 4 + v * 4) + v(-3 + v)) = 0 ((-12 + 4v) + v(-3 + v)) = 0 (-12 + 4v + (-3 * v + v * v)) = 0 (-12 + 4v + (-3v + v2)) = 0 Combine like terms: 4v + -3v = 1v (-12 + 1v + v2) = 0 Solving -12 + 1v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -1v)(3 + -1v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 2
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 = 3Solution
v = {-4, 3}
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