4x^2+140x-624=0

Solution for 4x^2+140x-624=0 equation:

Simplifying
4x2 + 140x + -624 = 0

Reorder the terms:
-624 + 140x + 4x2 = 0

Solving
-624 + 140x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-156 + 35x + x2) = 0

Factor a trinomial.
4((-39 + -1x)(4 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-39 + -1x)' equal to zero and attempt to solve:

Simplifying
-39 + -1x = 0

Solving
-39 + -1x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -1x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -1x = 0 + 39
-1x = 0 + 39

Combine like terms: 0 + 39 = 39
-1x = 39

Divide each side by '-1'.
x = -39

Simplifying
x = -39
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 = {-39, 4}