(x+9)*(x-9)=19

Solution for (x+9)*(x-9)=19 equation:

Simplifying
(x + 9)(x + -9) = 19

Reorder the terms:
(9 + x)(x + -9) = 19

Reorder the terms:
(9 + x)(-9 + x) = 19

Multiply (9 + x) * (-9 + x)
(9(-9 + x) + x(-9 + x)) = 19
((-9 * 9 + x * 9) + x(-9 + x)) = 19
((-81 + 9x) + x(-9 + x)) = 19
(-81 + 9x + (-9 * x + x * x)) = 19
(-81 + 9x + (-9x + x2)) = 19

Combine like terms: 9x + -9x = 0
(-81 + 0 + x2) = 19
(-81 + x2) = 19

Solving
-81 + x2 = 19

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + x2 = 19 + 81

Combine like terms: -81 + 81 = 0
0 + x2 = 19 + 81
x2 = 19 + 81

Combine like terms: 19 + 81 = 100
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}