(2x)(x)+3=4x-28

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Solution for (2x)(x)+3=4x-28 equation: 


Simplifying
(2x)(x) + 3 = 4x + -28

Remove parenthesis around (2x)
2x(x) + 3 = 4x + -28

Multiply x * x
2x2 + 3 = 4x + -28

Reorder the terms:
3 + 2x2 = 4x + -28

Reorder the terms:
3 + 2x2 = -28 + 4x

Solving
3 + 2x2 = -28 + 4x

Solving for variable 'x'.

Reorder the terms:
3 + 28 + -4x + 2x2 = -28 + 4x + 28 + -4x

Combine like terms: 3 + 28 = 31
31 + -4x + 2x2 = -28 + 4x + 28 + -4x

Reorder the terms:
31 + -4x + 2x2 = -28 + 28 + 4x + -4x

Combine like terms: -28 + 28 = 0
31 + -4x + 2x2 = 0 + 4x + -4x
31 + -4x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
31 + -4x + 2x2 = 0

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

Divide each side by '2'.
15.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-15.5' to each side of the equation.
15.5 + -2x + -15.5 + x2 = 0 + -15.5

Reorder the terms:
15.5 + -15.5 + -2x + x2 = 0 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -2x + x2 = 0 + -15.5
-2x + x2 = 0 + -15.5

Combine like terms: 0 + -15.5 = -15.5
-2x + x2 = -15.5

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 = -15.5 + 1

Reorder the terms:
1 + -2x + x2 = -15.5 + 1

Combine like terms: -15.5 + 1 = -14.5
1 + -2x + x2 = -14.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -14.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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