(x^2-26x+169)+(x^2-28x+196)=(x^2-24x+144)

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Solution for (x^2-26x+169)+(x^2-28x+196)=(x^2-24x+144) equation: 


Simplifying
(x2 + -26x + 169) + (x2 + -28x + 196) = (x2 + -24x + 144)

Reorder the terms:
(169 + -26x + x2) + (x2 + -28x + 196) = (x2 + -24x + 144)

Remove parenthesis around (169 + -26x + x2)
169 + -26x + x2 + (x2 + -28x + 196) = (x2 + -24x + 144)

Reorder the terms:
169 + -26x + x2 + (196 + -28x + x2) = (x2 + -24x + 144)

Remove parenthesis around (196 + -28x + x2)
169 + -26x + x2 + 196 + -28x + x2 = (x2 + -24x + 144)

Reorder the terms:
169 + 196 + -26x + -28x + x2 + x2 = (x2 + -24x + 144)

Combine like terms: 169 + 196 = 365
365 + -26x + -28x + x2 + x2 = (x2 + -24x + 144)

Combine like terms: -26x + -28x = -54x
365 + -54x + x2 + x2 = (x2 + -24x + 144)

Combine like terms: x2 + x2 = 2x2
365 + -54x + 2x2 = (x2 + -24x + 144)

Reorder the terms:
365 + -54x + 2x2 = (144 + -24x + x2)

Remove parenthesis around (144 + -24x + x2)
365 + -54x + 2x2 = 144 + -24x + x2

Solving
365 + -54x + 2x2 = 144 + -24x + x2

Solving for variable 'x'.

Reorder the terms:
365 + -144 + -54x + 24x + 2x2 + -1x2 = 144 + -24x + x2 + -144 + 24x + -1x2

Combine like terms: 365 + -144 = 221
221 + -54x + 24x + 2x2 + -1x2 = 144 + -24x + x2 + -144 + 24x + -1x2

Combine like terms: -54x + 24x = -30x
221 + -30x + 2x2 + -1x2 = 144 + -24x + x2 + -144 + 24x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
221 + -30x + 1x2 = 144 + -24x + x2 + -144 + 24x + -1x2

Reorder the terms:
221 + -30x + 1x2 = 144 + -144 + -24x + 24x + x2 + -1x2

Combine like terms: 144 + -144 = 0
221 + -30x + 1x2 = 0 + -24x + 24x + x2 + -1x2
221 + -30x + 1x2 = -24x + 24x + x2 + -1x2

Combine like terms: -24x + 24x = 0
221 + -30x + 1x2 = 0 + x2 + -1x2
221 + -30x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
221 + -30x + 1x2 = 0

Factor a trinomial.
(13 + -1x)(17 + -1x) = 0


Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {13, 17}

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