28x^2-43x-276=0

Solution for 28x^2-43x-276=0 equation:

Simplifying
28x2 + -43x + -276 = 0

Reorder the terms:
-276 + -43x + 28x2 = 0

Solving
-276 + -43x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-69 + -28x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-69 + -28x)' equal to zero and attempt to solve:

Simplifying
-69 + -28x = 0

Solving
-69 + -28x = 0

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

Add '69' to each side of the equation.
-69 + 69 + -28x = 0 + 69

Combine like terms: -69 + 69 = 0
0 + -28x = 0 + 69
-28x = 0 + 69

Combine like terms: 0 + 69 = 69
-28x = 69

Divide each side by '-28'.
x = -2.464285714

Simplifying
x = -2.464285714
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2.464285714, 4}