x+2x-2x+[x(2x-2)-60]=60

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Solution for x+2x-2x+[x(2x-2)-60]=60 equation: 


Simplifying
x + 2x + -2x + [x(2x + -2) + -60] = 60

Reorder the terms:
x + 2x + -2x + [x(-2 + 2x) + -60] = 60
x + 2x + -2x + [(-2 * x + 2x * x) + -60] = 60
x + 2x + -2x + [(-2x + 2x2) + -60] = 60

Reorder the terms:
x + 2x + -2x + [-60 + -2x + 2x2] = 60

Remove brackets around [-60 + -2x + 2x2]
x + 2x + -2x + -60 + -2x + 2x2 = 60

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

Combine like terms: x + 2x = 3x
-60 + 3x + -2x + -2x + 2x2 = 60

Combine like terms: 3x + -2x = 1x
-60 + 1x + -2x + 2x2 = 60

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

Solving
-60 + -1x + 2x2 = 60

Solving for variable 'x'.

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

Combine like terms: -60 + -60 = -120
-120 + -1x + 2x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-120 + -1x + 2x2 = 0

Factor a trinomial.
(-15 + -2x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve:

Simplifying
-15 + -2x = 0

Solving
-15 + -2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 0 + 15
-2x = 0 + 15

Combine like terms: 0 + 15 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

Subproblem 2
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
Solution
x = {-7.5, 8}

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