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Simplifying 29v = 10 + 10v2 Solving 29v = 10 + 10v2 Solving for variable 'v'. Reorder the terms: -10 + 29v + -10v2 = 10 + 10v2 + -10 + -10v2 Reorder the terms: -10 + 29v + -10v2 = 10 + -10 + 10v2 + -10v2 Combine like terms: 10 + -10 = 0 -10 + 29v + -10v2 = 0 + 10v2 + -10v2 -10 + 29v + -10v2 = 10v2 + -10v2 Combine like terms: 10v2 + -10v2 = 0 -10 + 29v + -10v2 = 0 Factor a trinomial. (-5 + 2v)(2 + -5v) = 0Subproblem 1
Set the factor '(-5 + 2v)' equal to zero and attempt to solve: Simplifying -5 + 2v = 0 Solving -5 + 2v = 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 + 2v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = 0 + 5 2v = 0 + 5 Combine like terms: 0 + 5 = 5 2v = 5 Divide each side by '2'. v = 2.5 Simplifying v = 2.5Subproblem 2
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 = 0.4Solution
v = {2.5, 0.4}
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