4x^2+41x-98=0

Solution for 4x^2+41x-98=0 equation:

Simplifying
4x2 + 41x + -98 = 0

Reorder the terms:
-98 + 41x + 4x2 = 0

Solving
-98 + 41x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + -4x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-49 + -4x)' equal to zero and attempt to solve:

Simplifying
-49 + -4x = 0

Solving
-49 + -4x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -4x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -4x = 0 + 49
-4x = 0 + 49

Combine like terms: 0 + 49 = 49
-4x = 49

Divide each side by '-4'.
x = -12.25

Simplifying
x = -12.25
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 = {-12.25, 2}