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Simplifying (8 + -3v)(8 + -3v) = 0 Multiply (8 + -3v) * (8 + -3v) (8(8 + -3v) + -3v * (8 + -3v)) = 0 ((8 * 8 + -3v * 8) + -3v * (8 + -3v)) = 0 ((64 + -24v) + -3v * (8 + -3v)) = 0 (64 + -24v + (8 * -3v + -3v * -3v)) = 0 (64 + -24v + (-24v + 9v2)) = 0 Combine like terms: -24v + -24v = -48v (64 + -48v + 9v2) = 0 Solving 64 + -48v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + -3v)(8 + -3v) = 0Subproblem 1
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 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 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 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 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Solution
v = {2.666666667, 2.666666667}
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