1+x(6-4x)-6x=0

Solution for 1+x(6-4x)-6x=0 equation:

Simplifying
1 + x(6 + -4x) + -6x = 0
1 + (6 * x + -4x * x) + -6x = 0
1 + (6x + -4x2) + -6x = 0

Reorder the terms:
1 + 6x + -6x + -4x2 = 0

Combine like terms: 6x + -6x = 0
1 + 0 + -4x2 = 0
1 + -4x2 = 0

Solving
1 + -4x2 = 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 + -4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x2 = 0 + -1
-4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4x2 = -1

Divide each side by '-4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}