4x^2+192=-56x

Solution for 4x^2+192=-56x equation:

Simplifying
4x2 + 192 = -56x

Reorder the terms:
192 + 4x2 = -56x

Solving
192 + 4x2 = -56x

Solving for variable 'x'.

Reorder the terms:
192 + 56x + 4x2 = -56x + 56x

Combine like terms: -56x + 56x = 0
192 + 56x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(48 + 14x + x2) = 0

Factor a trinomial.
4((8 + x)(6 + x)) = 0

Ignore the factor 4.
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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-8, -6}