x^2-11x+27=9

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Solution for x^2-11x+27=9 equation:


Simplifying
x2 + -11x + 27 = 9

Reorder the terms:
27 + -11x + x2 = 9

Solving
27 + -11x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
27 + -9 + -11x + x2 = 9 + -9

Combine like terms: 27 + -9 = 18
18 + -11x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
18 + -11x + x2 = 0

Factor a trinomial.
(2 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

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 = {2, 9}

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