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) = x2 + 4(x + -3)

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

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

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

Add '-1x2' to each side of the equation.
3x + x2 + -1x2 = -12 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x + 0 = -12 + 4x + x2 + -1x2
3x = -12 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x = -12 + 4x + 0
3x = -12 + 4x

Solving
3x = -12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = -12 + 0
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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