9x(x+1)=16+9x

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Solution for 9x(x+1)=16+9x equation: 


Simplifying
9x(x + 1) = 16 + 9x

Reorder the terms:
9x(1 + x) = 16 + 9x
(1 * 9x + x * 9x) = 16 + 9x
(9x + 9x2) = 16 + 9x

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

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

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

Solving
9x2 = 16

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 1.777777778

Simplifying
x2 = 1.777777778

Take the square root of each side:
x = {-1.333333333, 1.333333333}

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