4x^2-98x+258=0

Solution for 4x^2-98x+258=0 equation:

Simplifying
4x2 + -98x + 258 = 0

Reorder the terms:
258 + -98x + 4x2 = 0

Solving
258 + -98x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(129 + -49x + 2x2) = 0

Factor a trinomial.
2((3 + -1x)(43 + -2x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(43 + -2x)' equal to zero and attempt to solve:

Simplifying
43 + -2x = 0

Solving
43 + -2x = 0

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

Add '-43' to each side of the equation.
43 + -43 + -2x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -2x = 0 + -43
-2x = 0 + -43

Combine like terms: 0 + -43 = -43
-2x = -43

Divide each side by '-2'.
x = 21.5

Simplifying
x = 21.5
Solution
x = {3, 21.5}