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Simplifying 4x2 + 20xv + 25v2 = 0 Reorder the terms: 20vx + 25v2 + 4x2 = 0 Solving 20vx + 25v2 + 4x2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + 2x)(5v + 2x) = 0Subproblem 1
Set the factor '(5v + 2x)' equal to zero and attempt to solve: Simplifying 5v + 2x = 0 Solving 5v + 2x = 0 Move all terms containing v to the left, all other terms to the right. Add '-2x' to each side of the equation. 5v + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 5v + 0 = 0 + -2x 5v = 0 + -2x Remove the zero: 5v = -2x Divide each side by '5'. v = -0.4x Simplifying v = -0.4xSubproblem 2
Set the factor '(5v + 2x)' equal to zero and attempt to solve: Simplifying 5v + 2x = 0 Solving 5v + 2x = 0 Move all terms containing v to the left, all other terms to the right. Add '-2x' to each side of the equation. 5v + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 5v + 0 = 0 + -2x 5v = 0 + -2x Remove the zero: 5v = -2x Divide each side by '5'. v = -0.4x Simplifying v = -0.4xSolution
v = {-0.4x, -0.4x}
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