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Simplifying (v + 8)(v + -15) = 0 Reorder the terms: (8 + v)(v + -15) = 0 Reorder the terms: (8 + v)(-15 + v) = 0 Multiply (8 + v) * (-15 + v) (8(-15 + v) + v(-15 + v)) = 0 ((-15 * 8 + v * 8) + v(-15 + v)) = 0 ((-120 + 8v) + v(-15 + v)) = 0 (-120 + 8v + (-15 * v + v * v)) = 0 (-120 + 8v + (-15v + v2)) = 0 Combine like terms: 8v + -15v = -7v (-120 + -7v + v2) = 0 Solving -120 + -7v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(15 + -1v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 2
Set the factor '(15 + -1v)' equal to zero and attempt to solve: Simplifying 15 + -1v = 0 Solving 15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 0 + -15 -1v = 0 + -15 Combine like terms: 0 + -15 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15Solution
v = {-8, 15}
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