6x*-7x+1=0

Solution for 6x*-7x+1=0 equation:

Simplifying
6x * -7x + 1 = 0

Reorder the terms for easier multiplication:
6 * -7x * x + 1 = 0

Multiply 6 * -7
-42x * x + 1 = 0

Multiply x * x
-42x2 + 1 = 0

Reorder the terms:
1 + -42x2 = 0

Solving
1 + -42x2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -42x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -42x2 = 0 + -1
-42x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-42x2 = -1

Divide each side by '-42'.
x2 = 0.02380952381

Simplifying
x2 = 0.02380952381

Take the square root of each side:
x = {-0.15430335, 0.15430335}