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Simplifying (4 + -1v)(4 + -1v) = 0 Multiply (4 + -1v) * (4 + -1v) (4(4 + -1v) + -1v * (4 + -1v)) = 0 ((4 * 4 + -1v * 4) + -1v * (4 + -1v)) = 0 ((16 + -4v) + -1v * (4 + -1v)) = 0 (16 + -4v + (4 * -1v + -1v * -1v)) = 0 (16 + -4v + (-4v + 1v2)) = 0 Combine like terms: -4v + -4v = -8v (16 + -8v + 1v2) = 0 Solving 16 + -8v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -1v)(4 + -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 '(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 = 4Solution
v = {4, 4}
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