8x-3x(x-1)=(4x+2)

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Solution for 8x-3x(x-1)=(4x+2) equation: 


Simplifying
8x + -3x(x + -1) = (4x + 2)

Reorder the terms:
8x + -3x(-1 + x) = (4x + 2)
8x + (-1 * -3x + x * -3x) = (4x + 2)
8x + (3x + -3x2) = (4x + 2)

Combine like terms: 8x + 3x = 11x
11x + -3x2 = (4x + 2)

Reorder the terms:
11x + -3x2 = (2 + 4x)

Remove parenthesis around (2 + 4x)
11x + -3x2 = 2 + 4x

Solving
11x + -3x2 = 2 + 4x

Solving for variable 'x'.

Reorder the terms:
-2 + 11x + -4x + -3x2 = 2 + 4x + -2 + -4x

Combine like terms: 11x + -4x = 7x
-2 + 7x + -3x2 = 2 + 4x + -2 + -4x

Reorder the terms:
-2 + 7x + -3x2 = 2 + -2 + 4x + -4x

Combine like terms: 2 + -2 = 0
-2 + 7x + -3x2 = 0 + 4x + -4x
-2 + 7x + -3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 7x + -3x2 = 0

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


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

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {2, 0.3333333333}

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