26x^2-200x+384=0

Solution for 26x^2-200x+384=0 equation:

Simplifying
26x2 + -200x + 384 = 0

Reorder the terms:
384 + -200x + 26x2 = 0

Solving
384 + -200x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(192 + -100x + 13x2) = 0

Factor a trinomial.
2((48 + -13x)(4 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(48 + -13x)' equal to zero and attempt to solve:

Simplifying
48 + -13x = 0

Solving
48 + -13x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -13x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -13x = 0 + -48
-13x = 0 + -48

Combine like terms: 0 + -48 = -48
-13x = -48

Divide each side by '-13'.
x = 3.692307692

Simplifying
x = 3.692307692
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {3.692307692, 4}