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Simplifying 7v2 + 41v + -6 = 0 Reorder the terms: -6 + 41v + 7v2 = 0 Solving -6 + 41v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + -1v)(1 + -7v) = 0Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6Subproblem 2
Set the factor '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429Solution
v = {-6, 0.1428571429}
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