x^2+16=x(12+x)

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Solution for x^2+16=x(12+x) equation:


Simplifying
x2 + 16 = x(12 + x)

Reorder the terms:
16 + x2 = x(12 + x)
16 + x2 = (12 * x + x * x)
16 + x2 = (12x + x2)

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

Combine like terms: x2 + -1x2 = 0
16 + 0 = 12x + x2 + -1x2
16 = 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 = 12x + 0
16 = 12x

Solving
16 = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -12x = 0

Add '-16' to each side of the equation.
16 + -16 + -12x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = 0 + -16
-12x = 0 + -16

Combine like terms: 0 + -16 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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