26x^2-390x+1404=0

Solution for 26x^2-390x+1404=0 equation:

Simplifying
26x2 + -390x + 1404 = 0

Reorder the terms:
1404 + -390x + 26x2 = 0

Solving
1404 + -390x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '26'.
26(54 + -15x + x2) = 0

Factor a trinomial.
26((6 + -1x)(9 + -1x)) = 0

Ignore the factor 26.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {6, 9}