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Simplifying 7v2 + -38v + 40 = 0 Reorder the terms: 40 + -38v + 7v2 = 0 Solving 40 + -38v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + -7v)(4 + -1v) = 0Subproblem 1
Set the factor '(10 + -7v)' equal to zero and attempt to solve: Simplifying 10 + -7v = 0 Solving 10 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7v = 0 + -10 -7v = 0 + -10 Combine like terms: 0 + -10 = -10 -7v = -10 Divide each side by '-7'. v = 1.428571429 Simplifying v = 1.428571429Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {1.428571429, 4}
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