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Simplifying (v + -7)(v + 4) = 0 Reorder the terms: (-7 + v)(v + 4) = 0 Reorder the terms: (-7 + v)(4 + v) = 0 Multiply (-7 + v) * (4 + v) (-7(4 + v) + v(4 + v)) = 0 ((4 * -7 + v * -7) + v(4 + v)) = 0 ((-28 + -7v) + v(4 + v)) = 0 (-28 + -7v + (4 * v + v * v)) = 0 (-28 + -7v + (4v + v2)) = 0 Combine like terms: -7v + 4v = -3v (-28 + -3v + v2) = 0 Solving -28 + -3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -1v)(7 + -1v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 2
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 = 7Solution
v = {-4, 7}
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