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Simplifying (-3d + 10)(2d + -1) = 0 Reorder the terms: (10 + -3d)(2d + -1) = 0 Reorder the terms: (10 + -3d)(-1 + 2d) = 0 Multiply (10 + -3d) * (-1 + 2d) (10(-1 + 2d) + -3d * (-1 + 2d)) = 0 ((-1 * 10 + 2d * 10) + -3d * (-1 + 2d)) = 0 ((-10 + 20d) + -3d * (-1 + 2d)) = 0 (-10 + 20d + (-1 * -3d + 2d * -3d)) = 0 (-10 + 20d + (3d + -6d2)) = 0 Combine like terms: 20d + 3d = 23d (-10 + 23d + -6d2) = 0 Solving -10 + 23d + -6d2 = 0 Solving for variable 'd'. Factor a trinomial. (-10 + 3d)(1 + -2d) = 0Subproblem 1
Set the factor '(-10 + 3d)' equal to zero and attempt to solve: Simplifying -10 + 3d = 0 Solving -10 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3d = 0 + 10 3d = 0 + 10 Combine like terms: 0 + 10 = 10 3d = 10 Divide each side by '3'. d = 3.333333333 Simplifying d = 3.333333333Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve: Simplifying 1 + -2d = 0 Solving 1 + -2d = 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 + -2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = 0 + -1 -2d = 0 + -1 Combine like terms: 0 + -1 = -1 -2d = -1 Divide each side by '-2'. d = 0.5 Simplifying d = 0.5Solution
d = {3.333333333, 0.5}
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