x^2-62+2x-5+2x-5=180

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Solution for x^2-62+2x-5+2x-5=180 equation: 


Simplifying
x2 + -62 + 2x + -5 + 2x + -5 = 180

Reorder the terms:
-62 + -5 + -5 + 2x + 2x + x2 = 180

Combine like terms: -62 + -5 = -67
-67 + -5 + 2x + 2x + x2 = 180

Combine like terms: -67 + -5 = -72
-72 + 2x + 2x + x2 = 180

Combine like terms: 2x + 2x = 4x
-72 + 4x + x2 = 180

Solving
-72 + 4x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-72 + -180 + 4x + x2 = 180 + -180

Combine like terms: -72 + -180 = -252
-252 + 4x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-252 + 4x + x2 = 0

Factor a trinomial.
(-18 + -1x)(14 + -1x) = 0


Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-18, 14}

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