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

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


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

Reorder the terms:
x(3 + x) = x * 2 + 4(x + -3)
(3 * x + x * x) = x * 2 + 4(x + -3)
(3x + x2) = x * 2 + 4(x + -3)

Reorder the terms for easier multiplication:
3x + x2 = 2x + 4(x + -3)

Reorder the terms:
3x + x2 = 2x + 4(-3 + x)
3x + x2 = 2x + (-3 * 4 + x * 4)
3x + x2 = 2x + (-12 + 4x)

Reorder the terms:
3x + x2 = -12 + 2x + 4x

Combine like terms: 2x + 4x = 6x
3x + x2 = -12 + 6x

Solving
3x + x2 = -12 + 6x

Solving for variable 'x'.

Reorder the terms:
12 + 3x + -6x + x2 = -12 + 6x + 12 + -6x

Combine like terms: 3x + -6x = -3x
12 + -3x + x2 = -12 + 6x + 12 + -6x

Reorder the terms:
12 + -3x + x2 = -12 + 12 + 6x + -6x

Combine like terms: -12 + 12 = 0
12 + -3x + x2 = 0 + 6x + -6x
12 + -3x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -3x + x2 = 0 + -12

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

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

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 = -12 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + -3x + x2 = -9.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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