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Simplifying (11v + 7)(4v + -7) = 0 Reorder the terms: (7 + 11v)(4v + -7) = 0 Reorder the terms: (7 + 11v)(-7 + 4v) = 0 Multiply (7 + 11v) * (-7 + 4v) (7(-7 + 4v) + 11v * (-7 + 4v)) = 0 ((-7 * 7 + 4v * 7) + 11v * (-7 + 4v)) = 0 ((-49 + 28v) + 11v * (-7 + 4v)) = 0 (-49 + 28v + (-7 * 11v + 4v * 11v)) = 0 (-49 + 28v + (-77v + 44v2)) = 0 Combine like terms: 28v + -77v = -49v (-49 + -49v + 44v2) = 0 Solving -49 + -49v + 44v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -11v)(7 + -4v) = 0Subproblem 1
Set the factor '(-7 + -11v)' equal to zero and attempt to solve: Simplifying -7 + -11v = 0 Solving -7 + -11v = 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 + -11v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11v = 0 + 7 -11v = 0 + 7 Combine like terms: 0 + 7 = 7 -11v = 7 Divide each side by '-11'. v = -0.6363636364 Simplifying v = -0.6363636364Subproblem 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 = {-0.6363636364, 1.75}
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