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Simplifying 21d2 + -46df + -7f2 = 0 Reorder the terms: -46df + 21d2 + -7f2 = 0 Solving -46df + 21d2 + -7f2 = 0 Solving for variable 'd'. Factor a trinomial. (3d + -7f)(7d + f) = 0Subproblem 1
Set the factor '(3d + -7f)' equal to zero and attempt to solve: Simplifying 3d + -7f = 0 Solving 3d + -7f = 0 Move all terms containing d to the left, all other terms to the right. Add '7f' to each side of the equation. 3d + -7f + 7f = 0 + 7f Combine like terms: -7f + 7f = 0 3d + 0 = 0 + 7f 3d = 0 + 7f Remove the zero: 3d = 7f Divide each side by '3'. d = 2.333333333f Simplifying d = 2.333333333fSubproblem 2
Set the factor '(7d + f)' equal to zero and attempt to solve: Simplifying 7d + f = 0 Solving 7d + f = 0 Move all terms containing d to the left, all other terms to the right. Add '-1f' to each side of the equation. 7d + f + -1f = 0 + -1f Combine like terms: f + -1f = 0 7d + 0 = 0 + -1f 7d = 0 + -1f Remove the zero: 7d = -1f Divide each side by '7'. d = -0.1428571429f Simplifying d = -0.1428571429fSolution
d = {2.333333333f, -0.1428571429f}
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