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Simplifying -49v2 + -140v + -84 = 0 Reorder the terms: -84 + -140v + -49v2 = 0 Solving -84 + -140v + -49v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-7'. -7(12 + 20v + 7v2) = 0 Factor a trinomial. -7((2 + v)(6 + 7v)) = 0 Ignore the factor -7.Subproblem 1
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 2
Set the factor '(6 + 7v)' equal to zero and attempt to solve: Simplifying 6 + 7v = 0 Solving 6 + 7v = 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 + 7v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 0 + -6 7v = 0 + -6 Combine like terms: 0 + -6 = -6 7v = -6 Divide each side by '7'. v = -0.8571428571 Simplifying v = -0.8571428571Solution
v = {-2, -0.8571428571}
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