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Simplifying 5v2 + 8v + -25 = -12 Reorder the terms: -25 + 8v + 5v2 = -12 Solving -25 + 8v + 5v2 = -12 Solving for variable 'v'. Reorder the terms: -25 + 12 + 8v + 5v2 = -12 + 12 Combine like terms: -25 + 12 = -13 -13 + 8v + 5v2 = -12 + 12 Combine like terms: -12 + 12 = 0 -13 + 8v + 5v2 = 0 Factor a trinomial. (-13 + -5v)(1 + -1v) = 0Subproblem 1
Set the factor '(-13 + -5v)' equal to zero and attempt to solve: Simplifying -13 + -5v = 0 Solving -13 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5v = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5v = 0 + 13 -5v = 0 + 13 Combine like terms: 0 + 13 = 13 -5v = 13 Divide each side by '-5'. v = -2.6 Simplifying v = -2.6Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-2.6, 1}
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