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Simplifying (7 + v)(2v + -9) = 0 Reorder the terms: (7 + v)(-9 + 2v) = 0 Multiply (7 + v) * (-9 + 2v) (7(-9 + 2v) + v(-9 + 2v)) = 0 ((-9 * 7 + 2v * 7) + v(-9 + 2v)) = 0 ((-63 + 14v) + v(-9 + 2v)) = 0 (-63 + 14v + (-9 * v + 2v * v)) = 0 (-63 + 14v + (-9v + 2v2)) = 0 Combine like terms: 14v + -9v = 5v (-63 + 5v + 2v2) = 0 Solving -63 + 5v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(9 + -2v) = 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 '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {-7, 4.5}
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