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Simplifying (d2 + -1d + 5) + -1(2d + 5) = 0 Reorder the terms: (5 + -1d + d2) + -1(2d + 5) = 0 Remove parenthesis around (5 + -1d + d2) 5 + -1d + d2 + -1(2d + 5) = 0 Reorder the terms: 5 + -1d + d2 + -1(5 + 2d) = 0 5 + -1d + d2 + (5 * -1 + 2d * -1) = 0 5 + -1d + d2 + (-5 + -2d) = 0 Reorder the terms: 5 + -5 + -1d + -2d + d2 = 0 Combine like terms: 5 + -5 = 0 0 + -1d + -2d + d2 = 0 -1d + -2d + d2 = 0 Combine like terms: -1d + -2d = -3d -3d + d2 = 0 Solving -3d + d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-3 + d) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-3 + d)' equal to zero and attempt to solve: Simplifying -3 + d = 0 Solving -3 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + d = 0 + 3 d = 0 + 3 Combine like terms: 0 + 3 = 3 d = 3 Simplifying d = 3Solution
d = {0, 3}
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