4x^2+41x+-45=0

Solution for 4x^2+41x+-45=0 equation:

Simplifying
4x2 + 41x + -45 = 0

Reorder the terms:
-45 + 41x + 4x2 = 0

Solving
-45 + 41x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-45 + -4x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-45 + -4x)' equal to zero and attempt to solve:

Simplifying
-45 + -4x = 0

Solving
-45 + -4x = 0

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

Add '45' to each side of the equation.
-45 + 45 + -4x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -4x = 0 + 45
-4x = 0 + 45

Combine like terms: 0 + 45 = 45
-4x = 45

Divide each side by '-4'.
x = -11.25

Simplifying
x = -11.25
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-11.25, 1}