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Simplifying 7v2 + -78v + 80 = 0 Reorder the terms: 80 + -78v + 7v2 = 0 Solving 80 + -78v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + -7v)(10 + -1v) = 0Subproblem 1
Set the factor '(8 + -7v)' equal to zero and attempt to solve: Simplifying 8 + -7v = 0 Solving 8 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = 0 + -8 -7v = 0 + -8 Combine like terms: 0 + -8 = -8 -7v = -8 Divide each side by '-7'. v = 1.142857143 Simplifying v = 1.142857143Subproblem 2
Set the factor '(10 + -1v)' equal to zero and attempt to solve: Simplifying 10 + -1v = 0 Solving 10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 0 + -10 -1v = 0 + -10 Combine like terms: 0 + -10 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10Solution
v = {1.142857143, 10}
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