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Simplifying -1v(-8v + 1) + -1(7 + -2v) = 0 Reorder the terms: -1v(1 + -8v) + -1(7 + -2v) = 0 (1 * -1v + -8v * -1v) + -1(7 + -2v) = 0 (-1v + 8v2) + -1(7 + -2v) = 0 -1v + 8v2 + (7 * -1 + -2v * -1) = 0 -1v + 8v2 + (-7 + 2v) = 0 Reorder the terms: -7 + -1v + 2v + 8v2 = 0 Combine like terms: -1v + 2v = 1v -7 + 1v + 8v2 = 0 Solving -7 + 1v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -1v)(7 + -8v) = 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 + -8v)' equal to zero and attempt to solve: Simplifying 7 + -8v = 0 Solving 7 + -8v = 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 + -8v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8v = 0 + -7 -8v = 0 + -7 Combine like terms: 0 + -7 = -7 -8v = -7 Divide each side by '-8'. v = 0.875 Simplifying v = 0.875Solution
v = {-1, 0.875}
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