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Simplifying (9v + 4)(5v + -3) = 0 Reorder the terms: (4 + 9v)(5v + -3) = 0 Reorder the terms: (4 + 9v)(-3 + 5v) = 0 Multiply (4 + 9v) * (-3 + 5v) (4(-3 + 5v) + 9v * (-3 + 5v)) = 0 ((-3 * 4 + 5v * 4) + 9v * (-3 + 5v)) = 0 ((-12 + 20v) + 9v * (-3 + 5v)) = 0 (-12 + 20v + (-3 * 9v + 5v * 9v)) = 0 (-12 + 20v + (-27v + 45v2)) = 0 Combine like terms: 20v + -27v = -7v (-12 + -7v + 45v2) = 0 Solving -12 + -7v + 45v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -9v)(3 + -5v) = 0Subproblem 1
Set the factor '(-4 + -9v)' equal to zero and attempt to solve: Simplifying -4 + -9v = 0 Solving -4 + -9v = 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 + -9v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9v = 0 + 4 -9v = 0 + 4 Combine like terms: 0 + 4 = 4 -9v = 4 Divide each side by '-9'. v = -0.4444444444 Simplifying v = -0.4444444444Subproblem 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 = {-0.4444444444, 0.6}
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