28x^2=-96-184x

Solution for 28x^2=-96-184x equation:

Simplifying
28x2 = -96 + -184x

Solving
28x2 = -96 + -184x

Solving for variable 'x'.

Reorder the terms:
96 + 184x + 28x2 = -96 + -184x + 96 + 184x

Reorder the terms:
96 + 184x + 28x2 = -96 + 96 + -184x + 184x

Combine like terms: -96 + 96 = 0
96 + 184x + 28x2 = 0 + -184x + 184x
96 + 184x + 28x2 = -184x + 184x

Combine like terms: -184x + 184x = 0
96 + 184x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + 46x + 7x2) = 0

Factor a trinomial.
4((6 + x)(4 + 7x)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 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 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {-6, -0.5714285714}