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Simplifying 10v2 + -33v + -54 = 0 Reorder the terms: -54 + -33v + 10v2 = 0 Solving -54 + -33v + 10v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -5v)(9 + -2v) = 0Subproblem 1
Set the factor '(-6 + -5v)' equal to zero and attempt to solve: Simplifying -6 + -5v = 0 Solving -6 + -5v = 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 + -5v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 0 + 6 -5v = 0 + 6 Combine like terms: 0 + 6 = 6 -5v = 6 Divide each side by '-5'. v = -1.2 Simplifying v = -1.2Subproblem 2
Set the factor '(9 + -2v)' equal to zero and attempt to solve: Simplifying 9 + -2v = 0 Solving 9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = 0 + -9 -2v = 0 + -9 Combine like terms: 0 + -9 = -9 -2v = -9 Divide each side by '-2'. v = 4.5 Simplifying v = 4.5Solution
v = {-1.2, 4.5}
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