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Simplifying 16x2 + -56xv + 49v2 = 0 Reorder the terms: -56vx + 49v2 + 16x2 = 0 Solving -56vx + 49v2 + 16x2 = 0 Solving for variable 'v'. Factor a trinomial. (7v + -4x)(7v + -4x) = 0Subproblem 1
Set the factor '(7v + -4x)' equal to zero and attempt to solve: Simplifying 7v + -4x = 0 Solving 7v + -4x = 0 Move all terms containing v to the left, all other terms to the right. Add '4x' to each side of the equation. 7v + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 7v + 0 = 0 + 4x 7v = 0 + 4x Remove the zero: 7v = 4x Divide each side by '7'. v = 0.5714285714x Simplifying v = 0.5714285714xSubproblem 2
Set the factor '(7v + -4x)' equal to zero and attempt to solve: Simplifying 7v + -4x = 0 Solving 7v + -4x = 0 Move all terms containing v to the left, all other terms to the right. Add '4x' to each side of the equation. 7v + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 7v + 0 = 0 + 4x 7v = 0 + 4x Remove the zero: 7v = 4x Divide each side by '7'. v = 0.5714285714x Simplifying v = 0.5714285714xSolution
v = {0.5714285714x, 0.5714285714x}
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