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Simplifying 7v2 + 2v + 5 = 5 Reorder the terms: 5 + 2v + 7v2 = 5 Add '-5' to each side of the equation. 5 + 2v + -5 + 7v2 = 5 + -5 Reorder the terms: 5 + -5 + 2v + 7v2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 2v + 7v2 = 5 + -5 2v + 7v2 = 5 + -5 Combine like terms: 5 + -5 = 0 2v + 7v2 = 0 Solving 2v + 7v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(2 + 7v) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 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, -0.2857142857}
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