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Simplifying (4d + -3)(2d + -5) = 0 Reorder the terms: (-3 + 4d)(2d + -5) = 0 Reorder the terms: (-3 + 4d)(-5 + 2d) = 0 Multiply (-3 + 4d) * (-5 + 2d) (-3(-5 + 2d) + 4d * (-5 + 2d)) = 0 ((-5 * -3 + 2d * -3) + 4d * (-5 + 2d)) = 0 ((15 + -6d) + 4d * (-5 + 2d)) = 0 (15 + -6d + (-5 * 4d + 2d * 4d)) = 0 (15 + -6d + (-20d + 8d2)) = 0 Combine like terms: -6d + -20d = -26d (15 + -26d + 8d2) = 0 Solving 15 + -26d + 8d2 = 0 Solving for variable 'd'. Factor a trinomial. (3 + -4d)(5 + -2d) = 0Subproblem 1
Set the factor '(3 + -4d)' equal to zero and attempt to solve: Simplifying 3 + -4d = 0 Solving 3 + -4d = 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 + -4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4d = 0 + -3 -4d = 0 + -3 Combine like terms: 0 + -3 = -3 -4d = -3 Divide each side by '-4'. d = 0.75 Simplifying d = 0.75Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {0.75, 2.5}
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