28x^2+19x-5=-8

Solution for 28x^2+19x-5=-8 equation:

Simplifying
28x2 + 19x + -5 = -8

Reorder the terms:
-5 + 19x + 28x2 = -8

Solving
-5 + 19x + 28x2 = -8

Solving for variable 'x'.

Reorder the terms:
-5 + 8 + 19x + 28x2 = -8 + 8

Combine like terms: -5 + 8 = 3
3 + 19x + 28x2 = -8 + 8

Combine like terms: -8 + 8 = 0
3 + 19x + 28x2 = 0

Factor a trinomial.
(3 + 7x)(1 + 4x) = 0

Subproblem 1
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.4285714286, -0.25}