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Simplifying d(d + 5) = 14 Reorder the terms: d(5 + d) = 14 (5 * d + d * d) = 14 (5d + d2) = 14 Solving 5d + d2 = 14 Solving for variable 'd'. Reorder the terms: -14 + 5d + d2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 5d + d2 = 0 Factor a trinomial. (-7 + -1d)(2 + -1d) = 0Subproblem 1
Set the factor '(-7 + -1d)' equal to zero and attempt to solve: Simplifying -7 + -1d = 0 Solving -7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1d = 0 + 7 -1d = 0 + 7 Combine like terms: 0 + 7 = 7 -1d = 7 Divide each side by '-1'. d = -7 Simplifying d = -7Subproblem 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 = {-7, 2}
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