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Simplifying (v + 15)(v + -18) = 0 Reorder the terms: (15 + v)(v + -18) = 0 Reorder the terms: (15 + v)(-18 + v) = 0 Multiply (15 + v) * (-18 + v) (15(-18 + v) + v(-18 + v)) = 0 ((-18 * 15 + v * 15) + v(-18 + v)) = 0 ((-270 + 15v) + v(-18 + v)) = 0 (-270 + 15v + (-18 * v + v * v)) = 0 (-270 + 15v + (-18v + v2)) = 0 Combine like terms: 15v + -18v = -3v (-270 + -3v + v2) = 0 Solving -270 + -3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-15 + -1v)(18 + -1v) = 0Subproblem 1
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 = -15Subproblem 2
Set the factor '(18 + -1v)' equal to zero and attempt to solve: Simplifying 18 + -1v = 0 Solving 18 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1v = 0 + -18 -1v = 0 + -18 Combine like terms: 0 + -18 = -18 -1v = -18 Divide each side by '-1'. v = 18 Simplifying v = 18Solution
v = {-15, 18}
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