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Simplifying 49 = d2 + -36d + 324 Reorder the terms: 49 = 324 + -36d + d2 Solving 49 = 324 + -36d + d2 Solving for variable 'd'. Combine like terms: 49 + -324 = -275 -275 + 36d + -1d2 = 324 + -36d + d2 + -324 + 36d + -1d2 Reorder the terms: -275 + 36d + -1d2 = 324 + -324 + -36d + 36d + d2 + -1d2 Combine like terms: 324 + -324 = 0 -275 + 36d + -1d2 = 0 + -36d + 36d + d2 + -1d2 -275 + 36d + -1d2 = -36d + 36d + d2 + -1d2 Combine like terms: -36d + 36d = 0 -275 + 36d + -1d2 = 0 + d2 + -1d2 -275 + 36d + -1d2 = d2 + -1d2 Combine like terms: d2 + -1d2 = 0 -275 + 36d + -1d2 = 0 Factor a trinomial. (-25 + d)(11 + -1d) = 0Subproblem 1
Set the factor '(-25 + d)' equal to zero and attempt to solve: Simplifying -25 + d = 0 Solving -25 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + d = 0 + 25 Combine like terms: -25 + 25 = 0 0 + d = 0 + 25 d = 0 + 25 Combine like terms: 0 + 25 = 25 d = 25 Simplifying d = 25Subproblem 2
Set the factor '(11 + -1d)' equal to zero and attempt to solve: Simplifying 11 + -1d = 0 Solving 11 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1d = 0 + -11 -1d = 0 + -11 Combine like terms: 0 + -11 = -11 -1d = -11 Divide each side by '-1'. d = 11 Simplifying d = 11Solution
d = {25, 11}
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