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Simplifying 21v2 + 4v + -32 = 0 Reorder the terms: -32 + 4v + 21v2 = 0 Solving -32 + 4v + 21v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -3v)(8 + -7v) = 0Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve: Simplifying -4 + -3v = 0 Solving -4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3v = 0 + 4 -3v = 0 + 4 Combine like terms: 0 + 4 = 4 -3v = 4 Divide each side by '-3'. v = -1.333333333 Simplifying v = -1.333333333Subproblem 2
Set the factor '(8 + -7v)' equal to zero and attempt to solve: Simplifying 8 + -7v = 0 Solving 8 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = 0 + -8 -7v = 0 + -8 Combine like terms: 0 + -8 = -8 -7v = -8 Divide each side by '-7'. v = 1.142857143 Simplifying v = 1.142857143Solution
v = {-1.333333333, 1.142857143}
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