18d-81=d^2

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Solution for 18d-81=d^2 equation:


Simplifying
18d + -81 = d2

Reorder the terms:
-81 + 18d = d2

Solving
-81 + 18d = d2

Solving for variable 'd'.

Combine like terms: d2 + -1d2 = 0
-81 + 18d + -1d2 = 0

Factor a trinomial.
(-9 + d)(9 + -1d) = 0

Subproblem 1

Set the factor '(-9 + d)' equal to zero and attempt to solve: Simplifying -9 + d = 0 Solving -9 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + d = 0 + 9 d = 0 + 9 Combine like terms: 0 + 9 = 9 d = 9 Simplifying d = 9

Subproblem 2

Set the factor '(9 + -1d)' equal to zero and attempt to solve: Simplifying 9 + -1d = 0 Solving 9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 0 + -9 -1d = 0 + -9 Combine like terms: 0 + -9 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9

Solution

d = {9, 9}

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