x(x+22)=11(4x-11)

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Solution for x(x+22)=11(4x-11) equation: 


Simplifying
x(x + 22) = 11(4x + -11)

Reorder the terms:
x(22 + x) = 11(4x + -11)
(22 * x + x * x) = 11(4x + -11)
(22x + x2) = 11(4x + -11)

Reorder the terms:
22x + x2 = 11(-11 + 4x)
22x + x2 = (-11 * 11 + 4x * 11)
22x + x2 = (-121 + 44x)

Solving
22x + x2 = -121 + 44x

Solving for variable 'x'.

Reorder the terms:
121 + 22x + -44x + x2 = -121 + 44x + 121 + -44x

Combine like terms: 22x + -44x = -22x
121 + -22x + x2 = -121 + 44x + 121 + -44x

Reorder the terms:
121 + -22x + x2 = -121 + 121 + 44x + -44x

Combine like terms: -121 + 121 = 0
121 + -22x + x2 = 0 + 44x + -44x
121 + -22x + x2 = 44x + -44x

Combine like terms: 44x + -44x = 0
121 + -22x + x2 = 0

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


Subproblem 1
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

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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