2x^2-20x+40=2x-8

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Solution for 2x^2-20x+40=2x-8 equation: 


Simplifying
2x2 + -20x + 40 = 2x + -8

Reorder the terms:
40 + -20x + 2x2 = 2x + -8

Reorder the terms:
40 + -20x + 2x2 = -8 + 2x

Solving
40 + -20x + 2x2 = -8 + 2x

Solving for variable 'x'.

Reorder the terms:
40 + 8 + -20x + -2x + 2x2 = -8 + 2x + 8 + -2x

Combine like terms: 40 + 8 = 48
48 + -20x + -2x + 2x2 = -8 + 2x + 8 + -2x

Combine like terms: -20x + -2x = -22x
48 + -22x + 2x2 = -8 + 2x + 8 + -2x

Reorder the terms:
48 + -22x + 2x2 = -8 + 8 + 2x + -2x

Combine like terms: -8 + 8 = 0
48 + -22x + 2x2 = 0 + 2x + -2x
48 + -22x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
48 + -22x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -11x + x2) = 0

Factor a trinomial.
2((3 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, 8}

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