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Simplifying 81x2 + 36xv + 4v2 = 0 Reorder the terms: 36vx + 4v2 + 81x2 = 0 Solving 36vx + 4v2 + 81x2 = 0 Solving for variable 'v'. Factor a trinomial. (2v + 9x)(2v + 9x) = 0Subproblem 1
Set the factor '(2v + 9x)' equal to zero and attempt to solve: Simplifying 2v + 9x = 0 Solving 2v + 9x = 0 Move all terms containing v to the left, all other terms to the right. Add '-9x' to each side of the equation. 2v + 9x + -9x = 0 + -9x Combine like terms: 9x + -9x = 0 2v + 0 = 0 + -9x 2v = 0 + -9x Remove the zero: 2v = -9x Divide each side by '2'. v = -4.5x Simplifying v = -4.5xSubproblem 2
Set the factor '(2v + 9x)' equal to zero and attempt to solve: Simplifying 2v + 9x = 0 Solving 2v + 9x = 0 Move all terms containing v to the left, all other terms to the right. Add '-9x' to each side of the equation. 2v + 9x + -9x = 0 + -9x Combine like terms: 9x + -9x = 0 2v + 0 = 0 + -9x 2v = 0 + -9x Remove the zero: 2v = -9x Divide each side by '2'. v = -4.5x Simplifying v = -4.5xSolution
v = {-4.5x, -4.5x}
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