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Simplifying (5 + -1v)(5 + -1v) = 0 Multiply (5 + -1v) * (5 + -1v) (5(5 + -1v) + -1v * (5 + -1v)) = 0 ((5 * 5 + -1v * 5) + -1v * (5 + -1v)) = 0 ((25 + -5v) + -1v * (5 + -1v)) = 0 (25 + -5v + (5 * -1v + -1v * -1v)) = 0 (25 + -5v + (-5v + 1v2)) = 0 Combine like terms: -5v + -5v = -10v (25 + -10v + 1v2) = 0 Solving 25 + -10v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -1v)(5 + -1v) = 0Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {5, 5}
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