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Simplifying (7v + 4)(3v + -4) = 0 Reorder the terms: (4 + 7v)(3v + -4) = 0 Reorder the terms: (4 + 7v)(-4 + 3v) = 0 Multiply (4 + 7v) * (-4 + 3v) (4(-4 + 3v) + 7v * (-4 + 3v)) = 0 ((-4 * 4 + 3v * 4) + 7v * (-4 + 3v)) = 0 ((-16 + 12v) + 7v * (-4 + 3v)) = 0 (-16 + 12v + (-4 * 7v + 3v * 7v)) = 0 (-16 + 12v + (-28v + 21v2)) = 0 Combine like terms: 12v + -28v = -16v (-16 + -16v + 21v2) = 0 Solving -16 + -16v + 21v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -7v)(4 + -3v) = 0Subproblem 1
Set the factor '(-4 + -7v)' equal to zero and attempt to solve: Simplifying -4 + -7v = 0 Solving -4 + -7v = 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 + -7v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7v = 0 + 4 -7v = 0 + 4 Combine like terms: 0 + 4 = 4 -7v = 4 Divide each side by '-7'. v = -0.5714285714 Simplifying v = -0.5714285714Subproblem 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 = {-0.5714285714, 1.333333333}
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