64x^2+768x+2048=0

Solution for 64x^2+768x+2048=0 equation:

Simplifying
64x2 + 768x + 2048 = 0

Reorder the terms:
2048 + 768x + 64x2 = 0

Solving
2048 + 768x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '64'.
64(32 + 12x + x2) = 0

Factor a trinomial.
64((8 + x)(4 + x)) = 0

Ignore the factor 64.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}