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Simplifying (3v + -5)(3v + -5) = 0 Reorder the terms: (-5 + 3v)(3v + -5) = 0 Reorder the terms: (-5 + 3v)(-5 + 3v) = 0 Multiply (-5 + 3v) * (-5 + 3v) (-5(-5 + 3v) + 3v * (-5 + 3v)) = 0 ((-5 * -5 + 3v * -5) + 3v * (-5 + 3v)) = 0 ((25 + -15v) + 3v * (-5 + 3v)) = 0 (25 + -15v + (-5 * 3v + 3v * 3v)) = 0 (25 + -15v + (-15v + 9v2)) = 0 Combine like terms: -15v + -15v = -30v (25 + -30v + 9v2) = 0 Solving 25 + -30v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -3v)(5 + -3v) = 0Subproblem 1
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Subproblem 2
Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {1.666666667, 1.666666667}
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