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Simplifying r2d2 + -4rd + -45 = 0 Reorder the terms: -45 + -4dr + d2r2 = 0 Solving -45 + -4dr + d2r2 = 0 Solving for variable 'd'. Factor a trinomial. (-5 + -1dr)(9 + -1dr) = 0Subproblem 1
Set the factor '(-5 + -1dr)' equal to zero and attempt to solve: Simplifying -5 + -1dr = 0 Solving -5 + -1dr = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1dr = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1dr = 0 + 5 -1dr = 0 + 5 Combine like terms: 0 + 5 = 5 -1dr = 5 Divide each side by '-1r'. d = -5r-1 Simplifying d = -5r-1Subproblem 2
Set the factor '(9 + -1dr)' equal to zero and attempt to solve: Simplifying 9 + -1dr = 0 Solving 9 + -1dr = 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 + -1dr = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1dr = 0 + -9 -1dr = 0 + -9 Combine like terms: 0 + -9 = -9 -1dr = -9 Divide each side by '-1r'. d = 9r-1 Simplifying d = 9r-1Solution
d = {-5r-1, 9r-1}
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