4x^2-100x+49=0

Solution for 4x^2-100x+49=0 equation:

Simplifying
4x2 + -100x + 49 = 0

Reorder the terms:
49 + -100x + 4x2 = 0

Solving
49 + -100x + 4x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(49 + -2x)' equal to zero and attempt to solve:

Simplifying
49 + -2x = 0

Solving
49 + -2x = 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 + -2x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2x = 0 + -49
-2x = 0 + -49

Combine like terms: 0 + -49 = -49
-2x = -49

Divide each side by '-2'.
x = 24.5

Simplifying
x = 24.5
Solution
x = {0.5, 24.5}