2x-4=x^2+x-60

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Solution for 2x-4=x^2+x-60 equation: 


Simplifying
2x + -4 = x2 + x + -60

Reorder the terms:
-4 + 2x = x2 + x + -60

Reorder the terms:
-4 + 2x = -60 + x + x2

Solving
-4 + 2x = -60 + x + x2

Solving for variable 'x'.

Reorder the terms:
-4 + 60 + 2x + -1x + -1x2 = -60 + x + x2 + 60 + -1x + -1x2

Combine like terms: -4 + 60 = 56
56 + 2x + -1x + -1x2 = -60 + x + x2 + 60 + -1x + -1x2

Combine like terms: 2x + -1x = 1x
56 + 1x + -1x2 = -60 + x + x2 + 60 + -1x + -1x2

Reorder the terms:
56 + 1x + -1x2 = -60 + 60 + x + -1x + x2 + -1x2

Combine like terms: -60 + 60 = 0
56 + 1x + -1x2 = 0 + x + -1x + x2 + -1x2
56 + 1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
56 + 1x + -1x2 = 0 + x2 + -1x2
56 + 1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + 1x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(7 + x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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 = {8, -7}

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