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Simplifying 9y2 + -42yv + 49v2 = 0 Reorder the terms: -42vy + 49v2 + 9y2 = 0 Solving -42vy + 49v2 + 9y2 = 0 Solving for variable 'v'. Factor a trinomial. (7v + -3y)(7v + -3y) = 0Subproblem 1
Set the factor '(7v + -3y)' equal to zero and attempt to solve: Simplifying 7v + -3y = 0 Solving 7v + -3y = 0 Move all terms containing v to the left, all other terms to the right. Add '3y' to each side of the equation. 7v + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7v + 0 = 0 + 3y 7v = 0 + 3y Remove the zero: 7v = 3y Divide each side by '7'. v = 0.4285714286y Simplifying v = 0.4285714286ySubproblem 2
Set the factor '(7v + -3y)' equal to zero and attempt to solve: Simplifying 7v + -3y = 0 Solving 7v + -3y = 0 Move all terms containing v to the left, all other terms to the right. Add '3y' to each side of the equation. 7v + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7v + 0 = 0 + 3y 7v = 0 + 3y Remove the zero: 7v = 3y Divide each side by '7'. v = 0.4285714286y Simplifying v = 0.4285714286ySolution
v = {0.4285714286y, 0.4285714286y}
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