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Simplifying (d + 15)(d + -4) = 0 Reorder the terms: (15 + d)(d + -4) = 0 Reorder the terms: (15 + d)(-4 + d) = 0 Multiply (15 + d) * (-4 + d) (15(-4 + d) + d(-4 + d)) = 0 ((-4 * 15 + d * 15) + d(-4 + d)) = 0 ((-60 + 15d) + d(-4 + d)) = 0 (-60 + 15d + (-4 * d + d * d)) = 0 (-60 + 15d + (-4d + d2)) = 0 Combine like terms: 15d + -4d = 11d (-60 + 11d + d2) = 0 Solving -60 + 11d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-15 + -1d)(4 + -1d) = 0Subproblem 1
Set the factor '(-15 + -1d)' equal to zero and attempt to solve: Simplifying -15 + -1d = 0 Solving -15 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1d = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1d = 0 + 15 -1d = 0 + 15 Combine like terms: 0 + 15 = 15 -1d = 15 Divide each side by '-1'. d = -15 Simplifying d = -15Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {-15, 4}
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