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Simplifying 5v2 + 4v = 64 Reorder the terms: 4v + 5v2 = 64 Solving 4v + 5v2 = 64 Solving for variable 'v'. Reorder the terms: -64 + 4v + 5v2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 4v + 5v2 = 0 Factor a trinomial. (-4 + -1v)(16 + -5v) = 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 '(16 + -5v)' equal to zero and attempt to solve: Simplifying 16 + -5v = 0 Solving 16 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5v = 0 + -16 -5v = 0 + -16 Combine like terms: 0 + -16 = -16 -5v = -16 Divide each side by '-5'. v = 3.2 Simplifying v = 3.2Solution
v = {-4, 3.2}
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