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Simplifying (d + -49)(d + -1) = 0 Reorder the terms: (-49 + d)(d + -1) = 0 Reorder the terms: (-49 + d)(-1 + d) = 0 Multiply (-49 + d) * (-1 + d) (-49(-1 + d) + d(-1 + d)) = 0 ((-1 * -49 + d * -49) + d(-1 + d)) = 0 ((49 + -49d) + d(-1 + d)) = 0 (49 + -49d + (-1 * d + d * d)) = 0 (49 + -49d + (-1d + d2)) = 0 Combine like terms: -49d + -1d = -50d (49 + -50d + d2) = 0 Solving 49 + -50d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -1d)(49 + -1d) = 0Subproblem 1
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Subproblem 2
Set the factor '(49 + -1d)' equal to zero and attempt to solve: Simplifying 49 + -1d = 0 Solving 49 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1d = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1d = 0 + -49 -1d = 0 + -49 Combine like terms: 0 + -49 = -49 -1d = -49 Divide each side by '-1'. d = 49 Simplifying d = 49Solution
d = {1, 49}
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