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Simplifying 2d4 + -5d2 + -18 = 0 Reorder the terms: -18 + -5d2 + 2d4 = 0 Solving -18 + -5d2 + 2d4 = 0 Solving for variable 'd'. Factor a trinomial. (-2 + -1d2)(9 + -2d2) = 0Subproblem 1
Set the factor '(-2 + -1d2)' equal to zero and attempt to solve: Simplifying -2 + -1d2 = 0 Solving -2 + -1d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1d2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1d2 = 0 + 2 -1d2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1d2 = 2 Divide each side by '-1'. d2 = -2 Simplifying d2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + -2d2)' equal to zero and attempt to solve: Simplifying 9 + -2d2 = 0 Solving 9 + -2d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2d2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2d2 = 0 + -9 -2d2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2d2 = -9 Divide each side by '-2'. d2 = 4.5 Simplifying d2 = 4.5 Take the square root of each side: d = {-2.121320344, 2.121320344}Solution
d = {-2.121320344, 2.121320344}
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