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Simplifying 5v2 + -26v + 32 = 27 Reorder the terms: 32 + -26v + 5v2 = 27 Solving 32 + -26v + 5v2 = 27 Solving for variable 'v'. Reorder the terms: 32 + -27 + -26v + 5v2 = 27 + -27 Combine like terms: 32 + -27 = 5 5 + -26v + 5v2 = 27 + -27 Combine like terms: 27 + -27 = 0 5 + -26v + 5v2 = 0 Factor a trinomial. (1 + -5v)(5 + -1v) = 0Subproblem 1
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Subproblem 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 = {0.2, 5}
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