2x^2+x+121+x^2-2x+49=180

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Solution for 2x^2+x+121+x^2-2x+49=180 equation: 


Simplifying
2x2 + x + 121 + x2 + -2x + 49 = 180

Reorder the terms:
121 + 49 + x + -2x + 2x2 + x2 = 180

Combine like terms: 121 + 49 = 170
170 + x + -2x + 2x2 + x2 = 180

Combine like terms: x + -2x = -1x
170 + -1x + 2x2 + x2 = 180

Combine like terms: 2x2 + x2 = 3x2
170 + -1x + 3x2 = 180

Solving
170 + -1x + 3x2 = 180

Solving for variable 'x'.

Reorder the terms:
170 + -180 + -1x + 3x2 = 180 + -180

Combine like terms: 170 + -180 = -10
-10 + -1x + 3x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-10 + -1x + 3x2 = 0

Factor a trinomial.
(-5 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.666666667, 2}

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