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Simplifying 5v2 + -66 = 7v Reorder the terms: -66 + 5v2 = 7v Solving -66 + 5v2 = 7v Solving for variable 'v'. Reorder the terms: -66 + -7v + 5v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -66 + -7v + 5v2 = 0 Factor a trinomial. (-3 + -1v)(22 + -5v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 2
Set the factor '(22 + -5v)' equal to zero and attempt to solve: Simplifying 22 + -5v = 0 Solving 22 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5v = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5v = 0 + -22 -5v = 0 + -22 Combine like terms: 0 + -22 = -22 -5v = -22 Divide each side by '-5'. v = 4.4 Simplifying v = 4.4Solution
v = {-3, 4.4}
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