4x(x-6)=6(1-4x)+3

Solution for 4x(x-6)=6(1-4x)+3 equation:

Simplifying
4x(x + -6) = 6(1 + -4x) + 3

Reorder the terms:
4x(-6 + x) = 6(1 + -4x) + 3
(-6 * 4x + x * 4x) = 6(1 + -4x) + 3
(-24x + 4x2) = 6(1 + -4x) + 3
-24x + 4x2 = (1 * 6 + -4x * 6) + 3
-24x + 4x2 = (6 + -24x) + 3

Reorder the terms:
-24x + 4x2 = 6 + 3 + -24x

Combine like terms: 6 + 3 = 9
-24x + 4x2 = 9 + -24x

Add '24x' to each side of the equation.
-24x + 24x + 4x2 = 9 + -24x + 24x

Combine like terms: -24x + 24x = 0
0 + 4x2 = 9 + -24x + 24x
4x2 = 9 + -24x + 24x

Combine like terms: -24x + 24x = 0
4x2 = 9 + 0
4x2 = 9

Solving
4x2 = 9

Solving for variable 'x'.

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

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}