6x*-13x+5=0

Solution for 6x*-13x+5=0 equation:

Simplifying
6x * -13x + 5 = 0

Reorder the terms for easier multiplication:
6 * -13x * x + 5 = 0

Multiply 6 * -13
-78x * x + 5 = 0

Multiply x * x
-78x2 + 5 = 0

Reorder the terms:
5 + -78x2 = 0

Solving
5 + -78x2 = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -78x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -78x2 = 0 + -5
-78x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-78x2 = -5

Divide each side by '-78'.
x2 = 0.0641025641

Simplifying
x2 = 0.0641025641

Take the square root of each side:
x = {-0.253184842, 0.253184842}