x^2-x-9=x^2+8x+16

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Solution for x^2-x-9=x^2+8x+16 equation:


Simplifying
x2 + -1x + -9 = x2 + 8x + 16

Reorder the terms:
-9 + -1x + x2 = x2 + 8x + 16

Reorder the terms:
-9 + -1x + x2 = 16 + 8x + x2

Add '-1x2' to each side of the equation.
-9 + -1x + x2 + -1x2 = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -1x + 0 = 16 + 8x + x2 + -1x2
-9 + -1x = 16 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -1x = 16 + 8x + 0
-9 + -1x = 16 + 8x

Solving
-9 + -1x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + -1x + -8x = 16 + 8x + -8x

Combine like terms: -1x + -8x = -9x
-9 + -9x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -9x = 16 + 0
-9 + -9x = 16

Add '9' to each side of the equation.
-9 + 9 + -9x = 16 + 9

Combine like terms: -9 + 9 = 0
0 + -9x = 16 + 9
-9x = 16 + 9

Combine like terms: 16 + 9 = 25
-9x = 25

Divide each side by '-9'.
x = -2.777777778

Simplifying
x = -2.777777778

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