(x+11)(x-11)=25x+275

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Solution for (x+11)(x-11)=25x+275 equation: 


Simplifying
(x + 11)(x + -11) = 25x + 275

Reorder the terms:
(11 + x)(x + -11) = 25x + 275

Reorder the terms:
(11 + x)(-11 + x) = 25x + 275

Multiply (11 + x) * (-11 + x)
(11(-11 + x) + x(-11 + x)) = 25x + 275
((-11 * 11 + x * 11) + x(-11 + x)) = 25x + 275
((-121 + 11x) + x(-11 + x)) = 25x + 275
(-121 + 11x + (-11 * x + x * x)) = 25x + 275
(-121 + 11x + (-11x + x2)) = 25x + 275

Combine like terms: 11x + -11x = 0
(-121 + 0 + x2) = 25x + 275
(-121 + x2) = 25x + 275

Reorder the terms:
-121 + x2 = 275 + 25x

Solving
-121 + x2 = 275 + 25x

Solving for variable 'x'.

Reorder the terms:
-121 + -275 + -25x + x2 = 275 + 25x + -275 + -25x

Combine like terms: -121 + -275 = -396
-396 + -25x + x2 = 275 + 25x + -275 + -25x

Reorder the terms:
-396 + -25x + x2 = 275 + -275 + 25x + -25x

Combine like terms: 275 + -275 = 0
-396 + -25x + x2 = 0 + 25x + -25x
-396 + -25x + x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
-396 + -25x + x2 = 0

Factor a trinomial.
(-11 + -1x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {-11, 36}

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