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Simplifying 5v2 = 32v + -12 Reorder the terms: 5v2 = -12 + 32v Solving 5v2 = -12 + 32v Solving for variable 'v'. Reorder the terms: 12 + -32v + 5v2 = -12 + 32v + 12 + -32v Reorder the terms: 12 + -32v + 5v2 = -12 + 12 + 32v + -32v Combine like terms: -12 + 12 = 0 12 + -32v + 5v2 = 0 + 32v + -32v 12 + -32v + 5v2 = 32v + -32v Combine like terms: 32v + -32v = 0 12 + -32v + 5v2 = 0 Factor a trinomial. (2 + -5v)(6 + -1v) = 0Subproblem 1
Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {0.4, 6}
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