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Simplifying v2 = 30v + -29 Reorder the terms: v2 = -29 + 30v Solving v2 = -29 + 30v Solving for variable 'v'. Reorder the terms: 29 + -30v + v2 = -29 + 30v + 29 + -30v Reorder the terms: 29 + -30v + v2 = -29 + 29 + 30v + -30v Combine like terms: -29 + 29 = 0 29 + -30v + v2 = 0 + 30v + -30v 29 + -30v + v2 = 30v + -30v Combine like terms: 30v + -30v = 0 29 + -30v + v2 = 0 Factor a trinomial. (1 + -1v)(29 + -1v) = 0Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 2
Set the factor '(29 + -1v)' equal to zero and attempt to solve: Simplifying 29 + -1v = 0 Solving 29 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1v = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1v = 0 + -29 -1v = 0 + -29 Combine like terms: 0 + -29 = -29 -1v = -29 Divide each side by '-1'. v = 29 Simplifying v = 29Solution
v = {1, 29}
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