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Simplifying (9v + -7)(8v + -1) = 0 Reorder the terms: (-7 + 9v)(8v + -1) = 0 Reorder the terms: (-7 + 9v)(-1 + 8v) = 0 Multiply (-7 + 9v) * (-1 + 8v) (-7(-1 + 8v) + 9v * (-1 + 8v)) = 0 ((-1 * -7 + 8v * -7) + 9v * (-1 + 8v)) = 0 ((7 + -56v) + 9v * (-1 + 8v)) = 0 (7 + -56v + (-1 * 9v + 8v * 9v)) = 0 (7 + -56v + (-9v + 72v2)) = 0 Combine like terms: -56v + -9v = -65v (7 + -65v + 72v2) = 0 Solving 7 + -65v + 72v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -8v)(7 + -9v) = 0Subproblem 1
Set the factor '(1 + -8v)' equal to zero and attempt to solve: Simplifying 1 + -8v = 0 Solving 1 + -8v = 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 + -8v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8v = 0 + -1 -8v = 0 + -1 Combine like terms: 0 + -1 = -1 -8v = -1 Divide each side by '-8'. v = 0.125 Simplifying v = 0.125Subproblem 2
Set the factor '(7 + -9v)' equal to zero and attempt to solve: Simplifying 7 + -9v = 0 Solving 7 + -9v = 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 + -9v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9v = 0 + -7 -9v = 0 + -7 Combine like terms: 0 + -7 = -7 -9v = -7 Divide each side by '-9'. v = 0.7777777778 Simplifying v = 0.7777777778Solution
v = {0.125, 0.7777777778}
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