4x^2+25x-66=0

Solution for 4x^2+25x-66=0 equation:

Simplifying
4x2 + 25x + -66 = 0

Reorder the terms:
-66 + 25x + 4x2 = 0

Solving
-66 + 25x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-33 + -4x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -4x)' equal to zero and attempt to solve:

Simplifying
-33 + -4x = 0

Solving
-33 + -4x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -4x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -4x = 0 + 33
-4x = 0 + 33

Combine like terms: 0 + 33 = 33
-4x = 33

Divide each side by '-4'.
x = -8.25

Simplifying
x = -8.25
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-8.25, 2}