4x^2+57x-207=0

Solution for 4x^2+57x-207=0 equation:

Simplifying
4x2 + 57x + -207 = 0

Reorder the terms:
-207 + 57x + 4x2 = 0

Solving
-207 + 57x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-69 + -4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-69 + -4x)' equal to zero and attempt to solve:

Simplifying
-69 + -4x = 0

Solving
-69 + -4x = 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 + -4x = 0 + 69

Combine like terms: -69 + 69 = 0
0 + -4x = 0 + 69
-4x = 0 + 69

Combine like terms: 0 + 69 = 69
-4x = 69

Divide each side by '-4'.
x = -17.25

Simplifying
x = -17.25
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 = {-17.25, 3}