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Simplifying (6 + -1v)(5v + -7) = 0 Reorder the terms: (6 + -1v)(-7 + 5v) = 0 Multiply (6 + -1v) * (-7 + 5v) (6(-7 + 5v) + -1v * (-7 + 5v)) = 0 ((-7 * 6 + 5v * 6) + -1v * (-7 + 5v)) = 0 ((-42 + 30v) + -1v * (-7 + 5v)) = 0 (-42 + 30v + (-7 * -1v + 5v * -1v)) = 0 (-42 + 30v + (7v + -5v2)) = 0 Combine like terms: 30v + 7v = 37v (-42 + 37v + -5v2) = 0 Solving -42 + 37v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-6 + v)(7 + -5v) = 0Subproblem 1
Set the factor '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6Subproblem 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 = {6, 1.4}
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