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Simplifying -100d = -10d2 + 110 Reorder the terms: -100d = 110 + -10d2 Solving -100d = 110 + -10d2 Solving for variable 'd'. Reorder the terms: -110 + -100d + 10d2 = 110 + -10d2 + -110 + 10d2 Reorder the terms: -110 + -100d + 10d2 = 110 + -110 + -10d2 + 10d2 Combine like terms: 110 + -110 = 0 -110 + -100d + 10d2 = 0 + -10d2 + 10d2 -110 + -100d + 10d2 = -10d2 + 10d2 Combine like terms: -10d2 + 10d2 = 0 -110 + -100d + 10d2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-11 + -10d + d2) = 0 Factor a trinomial. 10((-1 + -1d)(11 + -1d)) = 0 Ignore the factor 10.Subproblem 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 '(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 = 11Solution
d = {-1, 11}
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