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Simplifying (-6d + 6)(2d + -2) = 0 Reorder the terms: (6 + -6d)(2d + -2) = 0 Reorder the terms: (6 + -6d)(-2 + 2d) = 0 Multiply (6 + -6d) * (-2 + 2d) (6(-2 + 2d) + -6d * (-2 + 2d)) = 0 ((-2 * 6 + 2d * 6) + -6d * (-2 + 2d)) = 0 ((-12 + 12d) + -6d * (-2 + 2d)) = 0 (-12 + 12d + (-2 * -6d + 2d * -6d)) = 0 (-12 + 12d + (12d + -12d2)) = 0 Combine like terms: 12d + 12d = 24d (-12 + 24d + -12d2) = 0 Solving -12 + 24d + -12d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '12'. 12(-1 + 2d + -1d2) = 0 Factor a trinomial. 12((-1 + d)(1 + -1d)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1 + d)' equal to zero and attempt to solve: Simplifying -1 + d = 0 Solving -1 + d = 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 + d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + d = 0 + 1 d = 0 + 1 Combine like terms: 0 + 1 = 1 d = 1 Simplifying d = 1Subproblem 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 = {1, 1}
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