2(x^2-2x+1)-(x-1)-21=0

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Solution for 2(x^2-2x+1)-(x-1)-21=0 equation: 


Simplifying
2(x2 + -2x + 1) + -1(x + -1) + -21 = 0

Reorder the terms:
2(1 + -2x + x2) + -1(x + -1) + -21 = 0
(1 * 2 + -2x * 2 + x2 * 2) + -1(x + -1) + -21 = 0
(2 + -4x + 2x2) + -1(x + -1) + -21 = 0

Reorder the terms:
2 + -4x + 2x2 + -1(-1 + x) + -21 = 0
2 + -4x + 2x2 + (-1 * -1 + x * -1) + -21 = 0
2 + -4x + 2x2 + (1 + -1x) + -21 = 0

Reorder the terms:
2 + 1 + -21 + -4x + -1x + 2x2 = 0

Combine like terms: 2 + 1 = 3
3 + -21 + -4x + -1x + 2x2 = 0

Combine like terms: 3 + -21 = -18
-18 + -4x + -1x + 2x2 = 0

Combine like terms: -4x + -1x = -5x
-18 + -5x + 2x2 = 0

Solving
-18 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(9 + -2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {-2, 4.5}

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