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Simplifying 5(d + -2)(d + 1)(2d + 1) = 0 Reorder the terms: 5(-2 + d)(d + 1)(2d + 1) = 0 Reorder the terms: 5(-2 + d)(1 + d)(2d + 1) = 0 Reorder the terms: 5(-2 + d)(1 + d)(1 + 2d) = 0 Multiply (-2 + d) * (1 + d) 5(-2(1 + d) + d(1 + d))(1 + 2d) = 0 5((1 * -2 + d * -2) + d(1 + d))(1 + 2d) = 0 5((-2 + -2d) + d(1 + d))(1 + 2d) = 0 5(-2 + -2d + (1 * d + d * d))(1 + 2d) = 0 5(-2 + -2d + (1d + d2))(1 + 2d) = 0 Combine like terms: -2d + 1d = -1d 5(-2 + -1d + d2)(1 + 2d) = 0 Multiply (-2 + -1d + d2) * (1 + 2d) 5(-2(1 + 2d) + -1d * (1 + 2d) + d2(1 + 2d)) = 0 5((1 * -2 + 2d * -2) + -1d * (1 + 2d) + d2(1 + 2d)) = 0 5((-2 + -4d) + -1d * (1 + 2d) + d2(1 + 2d)) = 0 5(-2 + -4d + (1 * -1d + 2d * -1d) + d2(1 + 2d)) = 0 5(-2 + -4d + (-1d + -2d2) + d2(1 + 2d)) = 0 5(-2 + -4d + -1d + -2d2 + (1 * d2 + 2d * d2)) = 0 5(-2 + -4d + -1d + -2d2 + (1d2 + 2d3)) = 0 Combine like terms: -4d + -1d = -5d 5(-2 + -5d + -2d2 + 1d2 + 2d3) = 0 Combine like terms: -2d2 + 1d2 = -1d2 5(-2 + -5d + -1d2 + 2d3) = 0 (-2 * 5 + -5d * 5 + -1d2 * 5 + 2d3 * 5) = 0 (-10 + -25d + -5d2 + 10d3) = 0 Solving -10 + -25d + -5d2 + 10d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -5d + -1d2 + 2d3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -5d + -1d2 + 2d3)' equal to zero and attempt to solve: Simplifying -2 + -5d + -1d2 + 2d3 = 0 Solving -2 + -5d + -1d2 + 2d3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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