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Simplifying 25x2 + -60xv + 36v2 = 0 Reorder the terms: -60vx + 36v2 + 25x2 = 0 Solving -60vx + 36v2 + 25x2 = 0 Solving for variable 'v'. Factor a trinomial. (6v + -5x)(6v + -5x) = 0Subproblem 1
Set the factor '(6v + -5x)' equal to zero and attempt to solve: Simplifying 6v + -5x = 0 Solving 6v + -5x = 0 Move all terms containing v to the left, all other terms to the right. Add '5x' to each side of the equation. 6v + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 6v + 0 = 0 + 5x 6v = 0 + 5x Remove the zero: 6v = 5x Divide each side by '6'. v = 0.8333333333x Simplifying v = 0.8333333333xSubproblem 2
Set the factor '(6v + -5x)' equal to zero and attempt to solve: Simplifying 6v + -5x = 0 Solving 6v + -5x = 0 Move all terms containing v to the left, all other terms to the right. Add '5x' to each side of the equation. 6v + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 6v + 0 = 0 + 5x 6v = 0 + 5x Remove the zero: 6v = 5x Divide each side by '6'. v = 0.8333333333x Simplifying v = 0.8333333333xSolution
v = {0.8333333333x, 0.8333333333x}
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