x^2+20x+64=864

Solution for x^2+20x+64=864 equation:

Simplifying
x2 + 20x + 64 = 864

Reorder the terms:
64 + 20x + x2 = 864

Solving
64 + 20x + x2 = 864

Solving for variable 'x'.

Reorder the terms:
64 + -864 + 20x + x2 = 864 + -864

Combine like terms: 64 + -864 = -800
-800 + 20x + x2 = 864 + -864

Combine like terms: 864 + -864 = 0
-800 + 20x + x2 = 0

Factor a trinomial.
(-40 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve:

Simplifying
-40 + -1x = 0

Solving
-40 + -1x = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = 0 + 40
-1x = 0 + 40

Combine like terms: 0 + 40 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-40, 20}