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Simplifying (5v + -7)(8 + -1v) = 0 Reorder the terms: (-7 + 5v)(8 + -1v) = 0 Multiply (-7 + 5v) * (8 + -1v) (-7(8 + -1v) + 5v * (8 + -1v)) = 0 ((8 * -7 + -1v * -7) + 5v * (8 + -1v)) = 0 ((-56 + 7v) + 5v * (8 + -1v)) = 0 (-56 + 7v + (8 * 5v + -1v * 5v)) = 0 (-56 + 7v + (40v + -5v2)) = 0 Combine like terms: 7v + 40v = 47v (-56 + 47v + -5v2) = 0 Solving -56 + 47v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + v)(7 + -5v) = 0Subproblem 1
Set the factor '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8Subproblem 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 = {8, 1.4}
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