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Simplifying (7v + 5)(3v + -4) = 0 Reorder the terms: (5 + 7v)(3v + -4) = 0 Reorder the terms: (5 + 7v)(-4 + 3v) = 0 Multiply (5 + 7v) * (-4 + 3v) (5(-4 + 3v) + 7v * (-4 + 3v)) = 0 ((-4 * 5 + 3v * 5) + 7v * (-4 + 3v)) = 0 ((-20 + 15v) + 7v * (-4 + 3v)) = 0 (-20 + 15v + (-4 * 7v + 3v * 7v)) = 0 (-20 + 15v + (-28v + 21v2)) = 0 Combine like terms: 15v + -28v = -13v (-20 + -13v + 21v2) = 0 Solving -20 + -13v + 21v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -7v)(4 + -3v) = 0Subproblem 1
Set the factor '(-5 + -7v)' equal to zero and attempt to solve: Simplifying -5 + -7v = 0 Solving -5 + -7v = 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 + -7v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7v = 0 + 5 -7v = 0 + 5 Combine like terms: 0 + 5 = 5 -7v = 5 Divide each side by '-7'. v = -0.7142857143 Simplifying v = -0.7142857143Subproblem 2
Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333Solution
v = {-0.7142857143, 1.333333333}
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