3x+60+x+59=x^2-6x

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Solution for 3x+60+x+59=x^2-6x equation: 


Simplifying
3x + 60 + x + 59 = x2 + -6x

Reorder the terms:
60 + 59 + 3x + x = x2 + -6x

Combine like terms: 60 + 59 = 119
119 + 3x + x = x2 + -6x

Combine like terms: 3x + x = 4x
119 + 4x = x2 + -6x

Reorder the terms:
119 + 4x = -6x + x2

Solving
119 + 4x = -6x + x2

Solving for variable 'x'.

Combine like terms: 4x + 6x = 10x
119 + 10x + -1x2 = -6x + x2 + 6x + -1x2

Reorder the terms:
119 + 10x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
119 + 10x + -1x2 = 0 + x2 + -1x2
119 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
119 + 10x + -1x2 = 0

Factor a trinomial.
(17 + -1x)(7 + x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {17, -7}

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