18x-x^2=81

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


Simplifying
18x + -1x2 = 81

Solving
18x + -1x2 = 81

Solving for variable 'x'.

Reorder the terms:
-81 + 18x + -1x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + 18x + -1x2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {9, 9}

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