x(x-3)=17+x*x

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Solution for x(x-3)=17+x*x equation: 


Simplifying
x(x + -3) = 17 + x * x

Reorder the terms:
x(-3 + x) = 17 + x * x
(-3 * x + x * x) = 17 + x * x
(-3x + x2) = 17 + x * x

Multiply x * x
-3x + x2 = 17 + x2

Add '-1x2' to each side of the equation.
-3x + x2 + -1x2 = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + 0 = 17 + x2 + -1x2
-3x = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x = 17 + 0
-3x = 17

Solving
-3x = 17

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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