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Simplifying 21v2 + 8v + 4 = 8 Reorder the terms: 4 + 8v + 21v2 = 8 Solving 4 + 8v + 21v2 = 8 Solving for variable 'v'. Reorder the terms: 4 + -8 + 8v + 21v2 = 8 + -8 Combine like terms: 4 + -8 = -4 -4 + 8v + 21v2 = 8 + -8 Combine like terms: 8 + -8 = 0 -4 + 8v + 21v2 = 0 Factor a trinomial. (-2 + -3v)(2 + -7v) = 0Subproblem 1
Set the factor '(-2 + -3v)' equal to zero and attempt to solve: Simplifying -2 + -3v = 0 Solving -2 + -3v = 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 + -3v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3v = 0 + 2 -3v = 0 + 2 Combine like terms: 0 + 2 = 2 -3v = 2 Divide each side by '-3'. v = -0.6666666667 Simplifying v = -0.6666666667Subproblem 2
Set the factor '(2 + -7v)' equal to zero and attempt to solve: Simplifying 2 + -7v = 0 Solving 2 + -7v = 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 + -7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7v = 0 + -2 -7v = 0 + -2 Combine like terms: 0 + -2 = -2 -7v = -2 Divide each side by '-7'. v = 0.2857142857 Simplifying v = 0.2857142857Solution
v = {-0.6666666667, 0.2857142857}
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