X(x^2+13)-6(x^2+13)=0

Solution for X(x^2+13)-6(x^2+13)=0 equation:

Simplifying
X(x2 + 13) + -6(x2 + 13) = 0

Reorder the terms:
X(13 + x2) + -6(x2 + 13) = 0
(13 * X + x2 * X) + -6(x2 + 13) = 0
(13X + x2X) + -6(x2 + 13) = 0

Reorder the terms:
13X + x2X + -6(13 + x2) = 0
13X + x2X + (13 * -6 + x2 * -6) = 0
13X + x2X + (-78 + -6x2) = 0

Reorder the terms:
-78 + 13X + -6x2 + x2X = 0

Solving
-78 + 13X + -6x2 + x2X = 0

Solving for variable 'X'.

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

Add '78' to each side of the equation.
-78 + 13X + -6x2 + 78 + x2X = 0 + 78

Reorder the terms:
-78 + 78 + 13X + -6x2 + x2X = 0 + 78

Combine like terms: -78 + 78 = 0
0 + 13X + -6x2 + x2X = 0 + 78
13X + -6x2 + x2X = 0 + 78

Combine like terms: 0 + 78 = 78
13X + -6x2 + x2X = 78

Add '6x2' to each side of the equation.
13X + -6x2 + 6x2 + x2X = 78 + 6x2

Combine like terms: -6x2 + 6x2 = 0
13X + 0 + x2X = 78 + 6x2
13X + x2X = 78 + 6x2

Reorder the terms:
-78 + 13X + -6x2 + x2X = 78 + 6x2 + -78 + -6x2

Reorder the terms:
-78 + 13X + -6x2 + x2X = 78 + -78 + 6x2 + -6x2

Combine like terms: 78 + -78 = 0
-78 + 13X + -6x2 + x2X = 0 + 6x2 + -6x2
-78 + 13X + -6x2 + x2X = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-78 + 13X + -6x2 + x2X = 0

The solution to this equation could not be determined.