2x^2+34x+289=x^2+36x+324

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Solution for 2x^2+34x+289=x^2+36x+324 equation: 


Simplifying
2x2 + 34x + 289 = x2 + 36x + 324

Reorder the terms:
289 + 34x + 2x2 = x2 + 36x + 324

Reorder the terms:
289 + 34x + 2x2 = 324 + 36x + x2

Solving
289 + 34x + 2x2 = 324 + 36x + x2

Solving for variable 'x'.

Reorder the terms:
289 + -324 + 34x + -36x + 2x2 + -1x2 = 324 + 36x + x2 + -324 + -36x + -1x2

Combine like terms: 289 + -324 = -35
-35 + 34x + -36x + 2x2 + -1x2 = 324 + 36x + x2 + -324 + -36x + -1x2

Combine like terms: 34x + -36x = -2x
-35 + -2x + 2x2 + -1x2 = 324 + 36x + x2 + -324 + -36x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-35 + -2x + 1x2 = 324 + 36x + x2 + -324 + -36x + -1x2

Reorder the terms:
-35 + -2x + 1x2 = 324 + -324 + 36x + -36x + x2 + -1x2

Combine like terms: 324 + -324 = 0
-35 + -2x + 1x2 = 0 + 36x + -36x + x2 + -1x2
-35 + -2x + 1x2 = 36x + -36x + x2 + -1x2

Combine like terms: 36x + -36x = 0
-35 + -2x + 1x2 = 0 + x2 + -1x2
-35 + -2x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-35 + -2x + 1x2 = 0

Factor a trinomial.
(-5 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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 = {-5, 7}

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