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Simplifying 9v2 + 42vf + 49f2 = 0 Reorder the terms: 42fv + 49f2 + 9v2 = 0 Solving 42fv + 49f2 + 9v2 = 0 Solving for variable 'f'. Factor a trinomial. (7f + 3v)(7f + 3v) = 0Subproblem 1
Set the factor '(7f + 3v)' equal to zero and attempt to solve: Simplifying 7f + 3v = 0 Solving 7f + 3v = 0 Move all terms containing f to the left, all other terms to the right. Add '-3v' to each side of the equation. 7f + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 7f + 0 = 0 + -3v 7f = 0 + -3v Remove the zero: 7f = -3v Divide each side by '7'. f = -0.4285714286v Simplifying f = -0.4285714286vSubproblem 2
Set the factor '(7f + 3v)' equal to zero and attempt to solve: Simplifying 7f + 3v = 0 Solving 7f + 3v = 0 Move all terms containing f to the left, all other terms to the right. Add '-3v' to each side of the equation. 7f + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 7f + 0 = 0 + -3v 7f = 0 + -3v Remove the zero: 7f = -3v Divide each side by '7'. f = -0.4285714286v Simplifying f = -0.4285714286vSolution
f = {-0.4285714286v, -0.4285714286v}
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