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Simplifying (1 + -1v)(5v + -9) = 0 Reorder the terms: (1 + -1v)(-9 + 5v) = 0 Multiply (1 + -1v) * (-9 + 5v) (1(-9 + 5v) + -1v * (-9 + 5v)) = 0 ((-9 * 1 + 5v * 1) + -1v * (-9 + 5v)) = 0 ((-9 + 5v) + -1v * (-9 + 5v)) = 0 (-9 + 5v + (-9 * -1v + 5v * -1v)) = 0 (-9 + 5v + (9v + -5v2)) = 0 Combine like terms: 5v + 9v = 14v (-9 + 14v + -5v2) = 0 Solving -9 + 14v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + 5v)(1 + -1v) = 0Subproblem 1
Set the factor '(-9 + 5v)' equal to zero and attempt to solve: Simplifying -9 + 5v = 0 Solving -9 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5v = 0 + 9 5v = 0 + 9 Combine like terms: 0 + 9 = 9 5v = 9 Divide each side by '5'. v = 1.8 Simplifying v = 1.8Subproblem 2
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 = 1Solution
v = {1.8, 1}
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