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Simplifying 45U2 + -150UV + 125V2 = 0 Reorder the terms: -150UV + 45U2 + 125V2 = 0 Solving -150UV + 45U2 + 125V2 = 0 Solving for variable 'U'. Factor out the Greatest Common Factor (GCF), '5'. 5(-30UV + 9U2 + 25V2) = 0 Factor a trinomial. 5((3U + -5V)(3U + -5V)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3U + -5V)' equal to zero and attempt to solve: Simplifying 3U + -5V = 0 Solving 3U + -5V = 0 Move all terms containing U to the left, all other terms to the right. Add '5V' to each side of the equation. 3U + -5V + 5V = 0 + 5V Combine like terms: -5V + 5V = 0 3U + 0 = 0 + 5V 3U = 0 + 5V Remove the zero: 3U = 5V Divide each side by '3'. U = 1.666666667V Simplifying U = 1.666666667VSubproblem 2
Set the factor '(3U + -5V)' equal to zero and attempt to solve: Simplifying 3U + -5V = 0 Solving 3U + -5V = 0 Move all terms containing U to the left, all other terms to the right. Add '5V' to each side of the equation. 3U + -5V + 5V = 0 + 5V Combine like terms: -5V + 5V = 0 3U + 0 = 0 + 5V 3U = 0 + 5V Remove the zero: 3U = 5V Divide each side by '3'. U = 1.666666667V Simplifying U = 1.666666667VSolution
U = {1.666666667V, 1.666666667V}
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