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Simplifying 15e2 + 16ef + 4f2 = 0 Reorder the terms: 16ef + 15e2 + 4f2 = 0 Solving 16ef + 15e2 + 4f2 = 0 Solving for variable 'e'. Factor a trinomial. (5e + 2f)(3e + 2f) = 0Subproblem 1
Set the factor '(5e + 2f)' equal to zero and attempt to solve: Simplifying 5e + 2f = 0 Solving 5e + 2f = 0 Move all terms containing e to the left, all other terms to the right. Add '-2f' to each side of the equation. 5e + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 5e + 0 = 0 + -2f 5e = 0 + -2f Remove the zero: 5e = -2f Divide each side by '5'. e = -0.4f Simplifying e = -0.4fSubproblem 2
Set the factor '(3e + 2f)' equal to zero and attempt to solve: Simplifying 3e + 2f = 0 Solving 3e + 2f = 0 Move all terms containing e to the left, all other terms to the right. Add '-2f' to each side of the equation. 3e + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 3e + 0 = 0 + -2f 3e = 0 + -2f Remove the zero: 3e = -2f Divide each side by '3'. e = -0.6666666667f Simplifying e = -0.6666666667fSolution
e = {-0.4f, -0.6666666667f}
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