25x^2-49x+24=0

Solution for 25x^2-49x+24=0 equation:

Simplifying
25x2 + -49x + 24 = 0

Reorder the terms:
24 + -49x + 25x2 = 0

Solving
24 + -49x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(24 + -25x)(1 + -1x) = 0

Subproblem 1
Set the factor '(24 + -25x)' equal to zero and attempt to solve:

Simplifying
24 + -25x = 0

Solving
24 + -25x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -25x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -25x = 0 + -24
-25x = 0 + -24

Combine like terms: 0 + -24 = -24
-25x = -24

Divide each side by '-25'.
x = 0.96

Simplifying
x = 0.96
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 = {0.96, 1}