(x+17)(x-17)=

Solution for (x+17)(x-17)= equation:

Simplifying
(x + 17)(x + -17) = 0

Reorder the terms:
(17 + x)(x + -17) = 0

Reorder the terms:
(17 + x)(-17 + x) = 0

Multiply (17 + x) * (-17 + x)
(17(-17 + x) + x(-17 + x)) = 0
((-17 * 17 + x * 17) + x(-17 + x)) = 0
((-289 + 17x) + x(-17 + x)) = 0
(-289 + 17x + (-17 * x + x * x)) = 0
(-289 + 17x + (-17x + x2)) = 0

Combine like terms: 17x + -17x = 0
(-289 + 0 + x2) = 0
(-289 + x2) = 0

Solving
-289 + x2 = 0

Solving for variable 'x'.

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

Add '289' to each side of the equation.
-289 + 289 + x2 = 0 + 289

Combine like terms: -289 + 289 = 0
0 + x2 = 0 + 289
x2 = 0 + 289

Combine like terms: 0 + 289 = 289
x2 = 289

Simplifying
x2 = 289

Take the square root of each side:
x = {-17, 17}