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Simplifying (7v + -3)(5v + 3) = 0 Reorder the terms: (-3 + 7v)(5v + 3) = 0 Reorder the terms: (-3 + 7v)(3 + 5v) = 0 Multiply (-3 + 7v) * (3 + 5v) (-3(3 + 5v) + 7v * (3 + 5v)) = 0 ((3 * -3 + 5v * -3) + 7v * (3 + 5v)) = 0 ((-9 + -15v) + 7v * (3 + 5v)) = 0 (-9 + -15v + (3 * 7v + 5v * 7v)) = 0 (-9 + -15v + (21v + 35v2)) = 0 Combine like terms: -15v + 21v = 6v (-9 + 6v + 35v2) = 0 Solving -9 + 6v + 35v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -5v)(3 + -7v) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(3 + -7v)' equal to zero and attempt to solve: Simplifying 3 + -7v = 0 Solving 3 + -7v = 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 + -7v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = 0 + -3 -7v = 0 + -3 Combine like terms: 0 + -3 = -3 -7v = -3 Divide each side by '-7'. v = 0.4285714286 Simplifying v = 0.4285714286Solution
v = {-0.6, 0.4285714286}
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