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Simplifying (7 + -1v)(5v + -3) = 0 Reorder the terms: (7 + -1v)(-3 + 5v) = 0 Multiply (7 + -1v) * (-3 + 5v) (7(-3 + 5v) + -1v * (-3 + 5v)) = 0 ((-3 * 7 + 5v * 7) + -1v * (-3 + 5v)) = 0 ((-21 + 35v) + -1v * (-3 + 5v)) = 0 (-21 + 35v + (-3 * -1v + 5v * -1v)) = 0 (-21 + 35v + (3v + -5v2)) = 0 Combine like terms: 35v + 3v = 38v (-21 + 38v + -5v2) = 0 Solving -21 + 38v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + v)(3 + -5v) = 0Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6Solution
v = {7, 0.6}
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