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Simplifying (4v + -9)(7 + v) = 0 Reorder the terms: (-9 + 4v)(7 + v) = 0 Multiply (-9 + 4v) * (7 + v) (-9(7 + v) + 4v * (7 + v)) = 0 ((7 * -9 + v * -9) + 4v * (7 + v)) = 0 ((-63 + -9v) + 4v * (7 + v)) = 0 (-63 + -9v + (7 * 4v + v * 4v)) = 0 (-63 + -9v + (28v + 4v2)) = 0 Combine like terms: -9v + 28v = 19v (-63 + 19v + 4v2) = 0 Solving -63 + 19v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(9 + -4v) = 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 + -4v)' equal to zero and attempt to solve: Simplifying 9 + -4v = 0 Solving 9 + -4v = 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 + -4v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = 0 + -9 -4v = 0 + -9 Combine like terms: 0 + -9 = -9 -4v = -9 Divide each side by '-4'. v = 2.25 Simplifying v = 2.25Solution
v = {-7, 2.25}
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