x^2+249=34x+9

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Solution for x^2+249=34x+9 equation: 


Simplifying
x2 + 249 = 34x + 9

Reorder the terms:
249 + x2 = 34x + 9

Reorder the terms:
249 + x2 = 9 + 34x

Solving
249 + x2 = 9 + 34x

Solving for variable 'x'.

Reorder the terms:
249 + -9 + -34x + x2 = 9 + 34x + -9 + -34x

Combine like terms: 249 + -9 = 240
240 + -34x + x2 = 9 + 34x + -9 + -34x

Reorder the terms:
240 + -34x + x2 = 9 + -9 + 34x + -34x

Combine like terms: 9 + -9 = 0
240 + -34x + x2 = 0 + 34x + -34x
240 + -34x + x2 = 34x + -34x

Combine like terms: 34x + -34x = 0
240 + -34x + x2 = 0

Factor a trinomial.
(10 + -1x)(24 + -1x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {10, 24}

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