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Simplifying (5v + -7)(3v + -5) = 0 Reorder the terms: (-7 + 5v)(3v + -5) = 0 Reorder the terms: (-7 + 5v)(-5 + 3v) = 0 Multiply (-7 + 5v) * (-5 + 3v) (-7(-5 + 3v) + 5v * (-5 + 3v)) = 0 ((-5 * -7 + 3v * -7) + 5v * (-5 + 3v)) = 0 ((35 + -21v) + 5v * (-5 + 3v)) = 0 (35 + -21v + (-5 * 5v + 3v * 5v)) = 0 (35 + -21v + (-25v + 15v2)) = 0 Combine like terms: -21v + -25v = -46v (35 + -46v + 15v2) = 0 Solving 35 + -46v + 15v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -5v)(5 + -3v) = 0Subproblem 1
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 = 1.4Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {1.4, 1.666666667}
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