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Simplifying 5v2 = 36v + 32 Reorder the terms: 5v2 = 32 + 36v Solving 5v2 = 32 + 36v Solving for variable 'v'. Reorder the terms: -32 + -36v + 5v2 = 32 + 36v + -32 + -36v Reorder the terms: -32 + -36v + 5v2 = 32 + -32 + 36v + -36v Combine like terms: 32 + -32 = 0 -32 + -36v + 5v2 = 0 + 36v + -36v -32 + -36v + 5v2 = 36v + -36v Combine like terms: 36v + -36v = 0 -32 + -36v + 5v2 = 0 Factor a trinomial. (-4 + -5v)(8 + -1v) = 0Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {-0.8, 8}
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