2x(x+3)=2x(2x)+15

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Solution for 2x(x+3)=2x(2x)+15 equation: 


Simplifying
2x(x + 3) = 2x(2x) + 15

Reorder the terms:
2x(3 + x) = 2x(2x) + 15
(3 * 2x + x * 2x) = 2x(2x) + 15
(6x + 2x2) = 2x(2x) + 15

Remove parenthesis around (2x)
6x + 2x2 = 2x * 2x + 15

Reorder the terms for easier multiplication:
6x + 2x2 = 2 * 2x * x + 15

Multiply 2 * 2
6x + 2x2 = 4x * x + 15

Multiply x * x
6x + 2x2 = 4x2 + 15

Reorder the terms:
6x + 2x2 = 15 + 4x2

Solving
6x + 2x2 = 15 + 4x2

Solving for variable 'x'.

Reorder the terms:
-15 + 6x + 2x2 + -4x2 = 15 + 4x2 + -15 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
-15 + 6x + -2x2 = 15 + 4x2 + -15 + -4x2

Reorder the terms:
-15 + 6x + -2x2 = 15 + -15 + 4x2 + -4x2

Combine like terms: 15 + -15 = 0
-15 + 6x + -2x2 = 0 + 4x2 + -4x2
-15 + 6x + -2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + 6x + -2x2 = 0

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

Divide each side by '-2'.
7.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -3x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -3x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -3x + x2 = 0 + -7.5
-3x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-3x + x2 = -7.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7.5 + 2.25

Combine like terms: -7.5 + 2.25 = -5.25
2.25 + -3x + x2 = -5.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -5.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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