22X-X^2=121

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Solution for 22X-X^2=121 equation:


Simplifying
22X + -1X2 = 121

Solving
22X + -1X2 = 121

Solving for variable 'X'.

Reorder the terms:
-121 + 22X + -1X2 = 121 + -121

Combine like terms: 121 + -121 = 0
-121 + 22X + -1X2 = 0

Factor a trinomial.
(-11 + X)(11 + -1X) = 0

Subproblem 1

Set the factor '(-11 + X)' equal to zero and attempt to solve: Simplifying -11 + X = 0 Solving -11 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + X = 0 + 11 Combine like terms: -11 + 11 = 0 0 + X = 0 + 11 X = 0 + 11 Combine like terms: 0 + 11 = 11 X = 11 Simplifying X = 11

Subproblem 2

Set the factor '(11 + -1X)' equal to zero and attempt to solve: Simplifying 11 + -1X = 0 Solving 11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1X = 0 + -11 -1X = 0 + -11 Combine like terms: 0 + -11 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11

Solution

X = {11, 11}

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