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Simplifying 7v2 = -8 + 30v Solving 7v2 = -8 + 30v Solving for variable 'v'. Reorder the terms: 8 + -30v + 7v2 = -8 + 30v + 8 + -30v Reorder the terms: 8 + -30v + 7v2 = -8 + 8 + 30v + -30v Combine like terms: -8 + 8 = 0 8 + -30v + 7v2 = 0 + 30v + -30v 8 + -30v + 7v2 = 30v + -30v Combine like terms: 30v + -30v = 0 8 + -30v + 7v2 = 0 Factor a trinomial. (2 + -7v)(4 + -1v) = 0Subproblem 1
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 = 0.2857142857Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {0.2857142857, 4}
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