x(x+9)-3=9x+1

Solution for x(x+9)-3=9x+1 equation:

Simplifying
x(x + 9) + -3 = 9x + 1

Reorder the terms:
x(9 + x) + -3 = 9x + 1
(9 * x + x * x) + -3 = 9x + 1
(9x + x2) + -3 = 9x + 1

Reorder the terms:
-3 + 9x + x2 = 9x + 1

Reorder the terms:
-3 + 9x + x2 = 1 + 9x

Add '-9x' to each side of the equation.
-3 + 9x + -9x + x2 = 1 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + 0 + x2 = 1 + 9x + -9x
-3 + x2 = 1 + 9x + -9x

Combine like terms: 9x + -9x = 0
-3 + x2 = 1 + 0
-3 + x2 = 1

Solving
-3 + x2 = 1

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 1 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 1 + 3
x2 = 1 + 3

Combine like terms: 1 + 3 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}