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Simplifying 49v2 + 42v + 9 = 0 Reorder the terms: 9 + 42v + 49v2 = 0 Solving 9 + 42v + 49v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + 7v)(3 + 7v) = 0Subproblem 1
Set the factor '(3 + 7v)' equal to zero and attempt to solve: Simplifying 3 + 7v = 0 Solving 3 + 7v = 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 + 7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 0 + -3 7v = 0 + -3 Combine like terms: 0 + -3 = -3 7v = -3 Divide each side by '7'. v = -0.4285714286 Simplifying v = -0.4285714286Subproblem 2
Set the factor '(3 + 7v)' equal to zero and attempt to solve: Simplifying 3 + 7v = 0 Solving 3 + 7v = 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 + 7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 0 + -3 7v = 0 + -3 Combine like terms: 0 + -3 = -3 7v = -3 Divide each side by '7'. v = -0.4285714286 Simplifying v = -0.4285714286Solution
v = {-0.4285714286, -0.4285714286}
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