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Simplifying 4(v + -7)(-1v + -3) = 0 Reorder the terms: 4(-7 + v)(-1v + -3) = 0 Reorder the terms: 4(-7 + v)(-3 + -1v) = 0 Multiply (-7 + v) * (-3 + -1v) 4(-7(-3 + -1v) + v(-3 + -1v)) = 0 4((-3 * -7 + -1v * -7) + v(-3 + -1v)) = 0 4((21 + 7v) + v(-3 + -1v)) = 0 4(21 + 7v + (-3 * v + -1v * v)) = 0 4(21 + 7v + (-3v + -1v2)) = 0 Combine like terms: 7v + -3v = 4v 4(21 + 4v + -1v2) = 0 (21 * 4 + 4v * 4 + -1v2 * 4) = 0 (84 + 16v + -4v2) = 0 Solving 84 + 16v + -4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(21 + 4v + -1v2) = 0 Factor a trinomial. 4((7 + -1v)(3 + v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 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 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {7, -3}
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