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Simplifying 5v2 + -18v = -6v + -7 Reorder the terms: -18v + 5v2 = -6v + -7 Reorder the terms: -18v + 5v2 = -7 + -6v Solving -18v + 5v2 = -7 + -6v Solving for variable 'v'. Reorder the terms: 7 + -18v + 6v + 5v2 = -7 + -6v + 7 + 6v Combine like terms: -18v + 6v = -12v 7 + -12v + 5v2 = -7 + -6v + 7 + 6v Reorder the terms: 7 + -12v + 5v2 = -7 + 7 + -6v + 6v Combine like terms: -7 + 7 = 0 7 + -12v + 5v2 = 0 + -6v + 6v 7 + -12v + 5v2 = -6v + 6v Combine like terms: -6v + 6v = 0 7 + -12v + 5v2 = 0 Factor a trinomial. (1 + -1v)(7 + -5v) = 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 '(7 + -5v)' equal to zero and attempt to solve: Simplifying 7 + -5v = 0 Solving 7 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5v = 0 + -7 -5v = 0 + -7 Combine like terms: 0 + -7 = -7 -5v = -7 Divide each side by '-5'. v = 1.4 Simplifying v = 1.4Solution
v = {1, 1.4}
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