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Simplifying (5d + -2)(d + 5) = 0 Reorder the terms: (-2 + 5d)(d + 5) = 0 Reorder the terms: (-2 + 5d)(5 + d) = 0 Multiply (-2 + 5d) * (5 + d) (-2(5 + d) + 5d * (5 + d)) = 0 ((5 * -2 + d * -2) + 5d * (5 + d)) = 0 ((-10 + -2d) + 5d * (5 + d)) = 0 (-10 + -2d + (5 * 5d + d * 5d)) = 0 (-10 + -2d + (25d + 5d2)) = 0 Combine like terms: -2d + 25d = 23d (-10 + 23d + 5d2) = 0 Solving -10 + 23d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (-5 + -1d)(2 + -5d) = 0Subproblem 1
Set the factor '(-5 + -1d)' equal to zero and attempt to solve: Simplifying -5 + -1d = 0 Solving -5 + -1d = 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 + -1d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1d = 0 + 5 -1d = 0 + 5 Combine like terms: 0 + 5 = 5 -1d = 5 Divide each side by '-1'. d = -5 Simplifying d = -5Subproblem 2
Set the factor '(2 + -5d)' equal to zero and attempt to solve: Simplifying 2 + -5d = 0 Solving 2 + -5d = 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 + -5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5d = 0 + -2 -5d = 0 + -2 Combine like terms: 0 + -2 = -2 -5d = -2 Divide each side by '-5'. d = 0.4 Simplifying d = 0.4Solution
d = {-5, 0.4}
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