x^2+6x+9=x^2+16

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Solution for x^2+6x+9=x^2+16 equation:


Simplifying
x2 + 6x + 9 = x2 + 16

Reorder the terms:
9 + 6x + x2 = x2 + 16

Reorder the terms:
9 + 6x + x2 = 16 + x2

Add '-1x2' to each side of the equation.
9 + 6x + x2 + -1x2 = 16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x + 0 = 16 + x2 + -1x2
9 + 6x = 16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x = 16 + 0
9 + 6x = 16

Solving
9 + 6x = 16

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 16 + -9
6x = 16 + -9

Combine like terms: 16 + -9 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

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