2x^2+7x-624=0

Solution for 2x^2+7x-624=0 equation:

Simplifying
2x2 + 7x + -624 = 0

Reorder the terms:
-624 + 7x + 2x2 = 0

Solving
-624 + 7x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-39 + -2x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -2x)' equal to zero and attempt to solve:

Simplifying
-39 + -2x = 0

Solving
-39 + -2x = 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 + -2x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -2x = 0 + 39
-2x = 0 + 39

Combine like terms: 0 + 39 = 39
-2x = 39

Divide each side by '-2'.
x = -19.5

Simplifying
x = -19.5
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-19.5, 16}