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Simplifying 25v2 + 70vf + 49f2 = 0 Reorder the terms: 70fv + 49f2 + 25v2 = 0 Solving 70fv + 49f2 + 25v2 = 0 Solving for variable 'f'. Factor a trinomial. (7f + 5v)(7f + 5v) = 0Subproblem 1
Set the factor '(7f + 5v)' equal to zero and attempt to solve: Simplifying 7f + 5v = 0 Solving 7f + 5v = 0 Move all terms containing f to the left, all other terms to the right. Add '-5v' to each side of the equation. 7f + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 7f + 0 = 0 + -5v 7f = 0 + -5v Remove the zero: 7f = -5v Divide each side by '7'. f = -0.7142857143v Simplifying f = -0.7142857143vSubproblem 2
Set the factor '(7f + 5v)' equal to zero and attempt to solve: Simplifying 7f + 5v = 0 Solving 7f + 5v = 0 Move all terms containing f to the left, all other terms to the right. Add '-5v' to each side of the equation. 7f + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 7f + 0 = 0 + -5v 7f = 0 + -5v Remove the zero: 7f = -5v Divide each side by '7'. f = -0.7142857143v Simplifying f = -0.7142857143vSolution
f = {-0.7142857143v, -0.7142857143v}
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