5+2x(-3)+4=2+3x(-1x)

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Solution for 5+2x(-3)+4=2+3x(-1x) equation: 


Simplifying
5 + 2x(-3) + 4 = 2 + 3x(-1x)

Reorder the terms for easier multiplication:
5 + 2 * -3x + 4 = 2 + 3x(-1x)

Multiply 2 * -3
5 + -6x + 4 = 2 + 3x(-1x)

Reorder the terms:
5 + 4 + -6x = 2 + 3x(-1x)

Combine like terms: 5 + 4 = 9
9 + -6x = 2 + 3x(-1x)

Remove parenthesis around (-1x)
9 + -6x = 2 + 3x * -1x

Reorder the terms for easier multiplication:
9 + -6x = 2 + 3 * -1x * x

Multiply 3 * -1
9 + -6x = 2 + -3x * x

Multiply x * x
9 + -6x = 2 + -3x2

Solving
9 + -6x = 2 + -3x2

Solving for variable 'x'.

Reorder the terms:
9 + -2 + -6x + 3x2 = 2 + -3x2 + -2 + 3x2

Combine like terms: 9 + -2 = 7
7 + -6x + 3x2 = 2 + -3x2 + -2 + 3x2

Reorder the terms:
7 + -6x + 3x2 = 2 + -2 + -3x2 + 3x2

Combine like terms: 2 + -2 = 0
7 + -6x + 3x2 = 0 + -3x2 + 3x2
7 + -6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + -6x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2.333333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -2x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -2x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.333333333
-2x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-2x + x2 = -2.333333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2.333333333 + 1

Reorder the terms:
1 + -2x + x2 = -2.333333333 + 1

Combine like terms: -2.333333333 + 1 = -1.333333333
1 + -2x + x2 = -1.333333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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