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Simplifying -35v2 + 24v + -4 = 0 Reorder the terms: -4 + 24v + -35v2 = 0 Solving -4 + 24v + -35v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + 5v)(2 + -7v) = 0Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 0.2857142857}
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