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Simplifying (d + -1)(d + 11) = 0 Reorder the terms: (-1 + d)(d + 11) = 0 Reorder the terms: (-1 + d)(11 + d) = 0 Multiply (-1 + d) * (11 + d) (-1(11 + d) + d(11 + d)) = 0 ((11 * -1 + d * -1) + d(11 + d)) = 0 ((-11 + -1d) + d(11 + d)) = 0 (-11 + -1d + (11 * d + d * d)) = 0 (-11 + -1d + (11d + d2)) = 0 Combine like terms: -1d + 11d = 10d (-11 + 10d + d2) = 0 Solving -11 + 10d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-11 + -1d)(1 + -1d) = 0Subproblem 1
Set the factor '(-11 + -1d)' equal to zero and attempt to solve: Simplifying -11 + -1d = 0 Solving -11 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1d = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1d = 0 + 11 -1d = 0 + 11 Combine like terms: 0 + 11 = 11 -1d = 11 Divide each side by '-1'. d = -11 Simplifying d = -11Subproblem 2
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 = 1Solution
d = {-11, 1}
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