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

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


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

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

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

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

Combine like terms: x + 4x = 5x
3x + x2 = -12 + 5x

Solving
3x + x2 = -12 + 5x

Solving for variable 'x'.

Reorder the terms:
12 + 3x + -5x + x2 = -12 + 5x + 12 + -5x

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

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -2x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -2x + x2 = 0 + -12

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

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

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 = -12 + 1

Reorder the terms:
1 + -2x + x2 = -12 + 1

Combine like terms: -12 + 1 = -11
1 + -2x + x2 = -11

Factor a perfect square on the left side:
(x + -1)(x + -1) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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