x^2+597=49x+9

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Solution for x^2+597=49x+9 equation: 


Simplifying
x2 + 597 = 49x + 9

Reorder the terms:
597 + x2 = 49x + 9

Reorder the terms:
597 + x2 = 9 + 49x

Solving
597 + x2 = 9 + 49x

Solving for variable 'x'.

Reorder the terms:
597 + -9 + -49x + x2 = 9 + 49x + -9 + -49x

Combine like terms: 597 + -9 = 588
588 + -49x + x2 = 9 + 49x + -9 + -49x

Reorder the terms:
588 + -49x + x2 = 9 + -9 + 49x + -49x

Combine like terms: 9 + -9 = 0
588 + -49x + x2 = 0 + 49x + -49x
588 + -49x + x2 = 49x + -49x

Combine like terms: 49x + -49x = 0
588 + -49x + x2 = 0

Factor a trinomial.
(21 + -1x)(28 + -1x) = 0


Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {21, 28}

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