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Simplifying 8 + -2(3 + 5d) * d = 8 Reorder the terms for easier multiplication: 8 + -2d(3 + 5d) = 8 8 + (3 * -2d + 5d * -2d) = 8 8 + (-6d + -10d2) = 8 Add '-8' to each side of the equation. 8 + -6d + -8 + -10d2 = 8 + -8 Reorder the terms: 8 + -8 + -6d + -10d2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -6d + -10d2 = 8 + -8 -6d + -10d2 = 8 + -8 Combine like terms: 8 + -8 = 0 -6d + -10d2 = 0 Solving -6d + -10d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-2d'. -2d(3 + 5d) = 0 Ignore the factor -2.Subproblem 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 + 5d)' equal to zero and attempt to solve: Simplifying 3 + 5d = 0 Solving 3 + 5d = 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 + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 0 + -3 5d = 0 + -3 Combine like terms: 0 + -3 = -3 5d = -3 Divide each side by '5'. d = -0.6 Simplifying d = -0.6Solution
d = {0, -0.6}
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