28-10x+2x^2=8+4x

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Solution for 28-10x+2x^2=8+4x equation: 


Simplifying
28 + -10x + 2x2 = 8 + 4x

Solving
28 + -10x + 2x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
28 + -8 + -10x + -4x + 2x2 = 8 + 4x + -8 + -4x

Combine like terms: 28 + -8 = 20
20 + -10x + -4x + 2x2 = 8 + 4x + -8 + -4x

Combine like terms: -10x + -4x = -14x
20 + -14x + 2x2 = 8 + 4x + -8 + -4x

Reorder the terms:
20 + -14x + 2x2 = 8 + -8 + 4x + -4x

Combine like terms: 8 + -8 = 0
20 + -14x + 2x2 = 0 + 4x + -4x
20 + -14x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7x + x2) = 0

Factor a trinomial.
2((2 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {2, 5}

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