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Simplifying (4v + 7)(9 + -1v) = 0 Reorder the terms: (7 + 4v)(9 + -1v) = 0 Multiply (7 + 4v) * (9 + -1v) (7(9 + -1v) + 4v * (9 + -1v)) = 0 ((9 * 7 + -1v * 7) + 4v * (9 + -1v)) = 0 ((63 + -7v) + 4v * (9 + -1v)) = 0 (63 + -7v + (9 * 4v + -1v * 4v)) = 0 (63 + -7v + (36v + -4v2)) = 0 Combine like terms: -7v + 36v = 29v (63 + 29v + -4v2) = 0 Solving 63 + 29v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + -1v)(7 + 4v) = 0Subproblem 1
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 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 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Subproblem 2
Set the factor '(7 + 4v)' equal to zero and attempt to solve: Simplifying 7 + 4v = 0 Solving 7 + 4v = 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 + 4v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4v = 0 + -7 4v = 0 + -7 Combine like terms: 0 + -7 = -7 4v = -7 Divide each side by '4'. v = -1.75 Simplifying v = -1.75Solution
v = {9, -1.75}
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