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Simplifying (8d + -3)(d + -2) = 0 Reorder the terms: (-3 + 8d)(d + -2) = 0 Reorder the terms: (-3 + 8d)(-2 + d) = 0 Multiply (-3 + 8d) * (-2 + d) (-3(-2 + d) + 8d * (-2 + d)) = 0 ((-2 * -3 + d * -3) + 8d * (-2 + d)) = 0 ((6 + -3d) + 8d * (-2 + d)) = 0 (6 + -3d + (-2 * 8d + d * 8d)) = 0 (6 + -3d + (-16d + 8d2)) = 0 Combine like terms: -3d + -16d = -19d (6 + -19d + 8d2) = 0 Solving 6 + -19d + 8d2 = 0 Solving for variable 'd'. Factor a trinomial. (3 + -8d)(2 + -1d) = 0Subproblem 1
Set the factor '(3 + -8d)' equal to zero and attempt to solve: Simplifying 3 + -8d = 0 Solving 3 + -8d = 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 + -8d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8d = 0 + -3 -8d = 0 + -3 Combine like terms: 0 + -3 = -3 -8d = -3 Divide each side by '-8'. d = 0.375 Simplifying d = 0.375Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {0.375, 2}
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