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Simplifying -7v2 + -25v + -12 = 0 Reorder the terms: -12 + -25v + -7v2 = 0 Solving -12 + -25v + -7v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 25v + 7v2) = 0 Factor a trinomial. -1((3 + v)(4 + 7v)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Subproblem 2
Set the factor '(4 + 7v)' equal to zero and attempt to solve: Simplifying 4 + 7v = 0 Solving 4 + 7v = 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 + 7v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = 0 + -4 7v = 0 + -4 Combine like terms: 0 + -4 = -4 7v = -4 Divide each side by '7'. v = -0.5714285714 Simplifying v = -0.5714285714Solution
v = {-3, -0.5714285714}
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