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Simplifying 7v2 + 10 = 37v Reorder the terms: 10 + 7v2 = 37v Solving 10 + 7v2 = 37v Solving for variable 'v'. Reorder the terms: 10 + -37v + 7v2 = 37v + -37v Combine like terms: 37v + -37v = 0 10 + -37v + 7v2 = 0 Factor a trinomial. (2 + -7v)(5 + -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 '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {0.2857142857, 5}
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