x(x-7)=19+x^2

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Solution for x(x-7)=19+x^2 equation: 


Simplifying
x(x + -7) = 19 + x2

Reorder the terms:
x(-7 + x) = 19 + x2
(-7 * x + x * x) = 19 + x2
(-7x + x2) = 19 + x2

Add '-1x2' to each side of the equation.
-7x + x2 + -1x2 = 19 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x + 0 = 19 + x2 + -1x2
-7x = 19 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x = 19 + 0
-7x = 19

Solving
-7x = 19

Solving for variable 'x'.

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

Divide each side by '-7'.
x = -2.714285714

Simplifying
x = -2.714285714

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