2x(1+x)+3x=2x*2x+12

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Solution for 2x(1+x)+3x=2x*2x+12 equation: 


Simplifying
2x(1 + x) + 3x = 2x * 2x + 12
(1 * 2x + x * 2x) + 3x = 2x * 2x + 12
(2x + 2x2) + 3x = 2x * 2x + 12

Reorder the terms:
2x + 3x + 2x2 = 2x * 2x + 12

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

Reorder the terms for easier multiplication:
5x + 2x2 = 2 * 2x * x + 12

Multiply 2 * 2
5x + 2x2 = 4x * x + 12

Multiply x * x
5x + 2x2 = 4x2 + 12

Reorder the terms:
5x + 2x2 = 12 + 4x2

Solving
5x + 2x2 = 12 + 4x2

Solving for variable 'x'.

Reorder the terms:
-12 + 5x + 2x2 + -4x2 = 12 + 4x2 + -12 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
-12 + 5x + -2x2 = 12 + 4x2 + -12 + -4x2

Reorder the terms:
-12 + 5x + -2x2 = 12 + -12 + 4x2 + -4x2

Combine like terms: 12 + -12 = 0
-12 + 5x + -2x2 = 0 + 4x2 + -4x2
-12 + 5x + -2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 5x + -2x2 = 0

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

Divide each side by '-2'.
6 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -2.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.5x + x2 = 0 + -6
-2.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.5x + x2 = -6

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -6 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -6 + 1.5625

Combine like terms: -6 + 1.5625 = -4.4375
1.5625 + -2.5x + x2 = -4.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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