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Simplifying (4d2 + 2d + 2) + (5d2 + -2 + -1d) = 0 Reorder the terms: (2 + 2d + 4d2) + (5d2 + -2 + -1d) = 0 Remove parenthesis around (2 + 2d + 4d2) 2 + 2d + 4d2 + (5d2 + -2 + -1d) = 0 Reorder the terms: 2 + 2d + 4d2 + (-2 + -1d + 5d2) = 0 Remove parenthesis around (-2 + -1d + 5d2) 2 + 2d + 4d2 + -2 + -1d + 5d2 = 0 Reorder the terms: 2 + -2 + 2d + -1d + 4d2 + 5d2 = 0 Combine like terms: 2 + -2 = 0 0 + 2d + -1d + 4d2 + 5d2 = 0 2d + -1d + 4d2 + 5d2 = 0 Combine like terms: 2d + -1d = 1d 1d + 4d2 + 5d2 = 0 Combine like terms: 4d2 + 5d2 = 9d2 1d + 9d2 = 0 Solving 1d + 9d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(1 + 9d) = 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 '(1 + 9d)' equal to zero and attempt to solve: Simplifying 1 + 9d = 0 Solving 1 + 9d = 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 + 9d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9d = 0 + -1 9d = 0 + -1 Combine like terms: 0 + -1 = -1 9d = -1 Divide each side by '9'. d = -0.1111111111 Simplifying d = -0.1111111111Solution
d = {0, -0.1111111111}
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