x(x+9)-2=9x+14

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Solution for x(x+9)-2=9x+14 equation: 


Simplifying
x(x + 9) + -2 = 9x + 14

Reorder the terms:
x(9 + x) + -2 = 9x + 14
(9 * x + x * x) + -2 = 9x + 14
(9x + x2) + -2 = 9x + 14

Reorder the terms:
-2 + 9x + x2 = 9x + 14

Reorder the terms:
-2 + 9x + x2 = 14 + 9x

Add '-9x' to each side of the equation.
-2 + 9x + -9x + x2 = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 0 + x2 = 14 + 9x + -9x
-2 + x2 = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + x2 = 14 + 0
-2 + x2 = 14

Solving
-2 + x2 = 14

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x2 = 14 + 2

Combine like terms: -2 + 2 = 0
0 + x2 = 14 + 2
x2 = 14 + 2

Combine like terms: 14 + 2 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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