x^2-2x+49=11x+7

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Solution for x^2-2x+49=11x+7 equation: 


Simplifying
x2 + -2x + 49 = 11x + 7

Reorder the terms:
49 + -2x + x2 = 11x + 7

Reorder the terms:
49 + -2x + x2 = 7 + 11x

Solving
49 + -2x + x2 = 7 + 11x

Solving for variable 'x'.

Reorder the terms:
49 + -7 + -2x + -11x + x2 = 7 + 11x + -7 + -11x

Combine like terms: 49 + -7 = 42
42 + -2x + -11x + x2 = 7 + 11x + -7 + -11x

Combine like terms: -2x + -11x = -13x
42 + -13x + x2 = 7 + 11x + -7 + -11x

Reorder the terms:
42 + -13x + x2 = 7 + -7 + 11x + -11x

Combine like terms: 7 + -7 = 0
42 + -13x + x2 = 0 + 11x + -11x
42 + -13x + x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
42 + -13x + x2 = 0

Factor a trinomial.
(6 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {6, 7}

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