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Simplifying 49v2 + -8 = -14v Reorder the terms: -8 + 49v2 = -14v Solving -8 + 49v2 = -14v Solving for variable 'v'. Reorder the terms: -8 + 14v + 49v2 = -14v + 14v Combine like terms: -14v + 14v = 0 -8 + 14v + 49v2 = 0 Factor a trinomial. (-4 + -7v)(2 + -7v) = 0Subproblem 1
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 = -0.5714285714Subproblem 2
Set the factor '(2 + -7v)' equal to zero and attempt to solve: Simplifying 2 + -7v = 0 Solving 2 + -7v = 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 + -7v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7v = 0 + -2 -7v = 0 + -2 Combine like terms: 0 + -2 = -2 -7v = -2 Divide each side by '-7'. v = 0.2857142857 Simplifying v = 0.2857142857Solution
v = {-0.5714285714, 0.2857142857}
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