12x^2-8x+2=5-3x

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Solution for 12x^2-8x+2=5-3x equation: 


Simplifying
12x2 + -8x + 2 = 5 + -3x

Reorder the terms:
2 + -8x + 12x2 = 5 + -3x

Solving
2 + -8x + 12x2 = 5 + -3x

Solving for variable 'x'.

Reorder the terms:
2 + -5 + -8x + 3x + 12x2 = 5 + -3x + -5 + 3x

Combine like terms: 2 + -5 = -3
-3 + -8x + 3x + 12x2 = 5 + -3x + -5 + 3x

Combine like terms: -8x + 3x = -5x
-3 + -5x + 12x2 = 5 + -3x + -5 + 3x

Reorder the terms:
-3 + -5x + 12x2 = 5 + -5 + -3x + 3x

Combine like terms: 5 + -5 = 0
-3 + -5x + 12x2 = 0 + -3x + 3x
-3 + -5x + 12x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + -5x + 12x2 = 0

Factor a trinomial.
(-1 + -3x)(3 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-0.3333333333, 0.75}

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