4x^2+280x-876=0

Solution for 4x^2+280x-876=0 equation:

Simplifying
4x2 + 280x + -876 = 0

Reorder the terms:
-876 + 280x + 4x2 = 0

Solving
-876 + 280x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-219 + 70x + x2) = 0

Factor a trinomial.
4((-73 + -1x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-73 + -1x)' equal to zero and attempt to solve:

Simplifying
-73 + -1x = 0

Solving
-73 + -1x = 0

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

Add '73' to each side of the equation.
-73 + 73 + -1x = 0 + 73

Combine like terms: -73 + 73 = 0
0 + -1x = 0 + 73
-1x = 0 + 73

Combine like terms: 0 + 73 = 73
-1x = 73

Divide each side by '-1'.
x = -73

Simplifying
x = -73
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-73, 3}